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Finding the Fourth Proportional to 1,171.51, 1,756.35 and 586.49

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Solution

The fourth proportional to 1,171.51, 1,756.35 and 586.49 is: 879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.51 : 1,756.35 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,171.51/1,756.35 = 586.49/x
  3. Step 3: Cross multiply
    1,171.51x = 1,756.35 × 586.49
  4. Step 4: Simplify right side
    1,171.51x = 1,030,072.93
  5. Step 5: Solve for x
    x = 1,030,072.93/1,171.51
  6. Step 6: Final answer
    x = 879.27

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,172.51, 1,757.85 and 587.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.