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Finding the Fourth Proportional to 1,261.69, 1,741.13 and 709.69

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Solution

The fourth proportional to 1,261.69, 1,741.13 and 709.69 is: 979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.69 : 1,741.13 = 709.69 : x
  2. Step 2: Convert to fraction form
    1,261.69/1,741.13 = 709.69/x
  3. Step 3: Cross multiply
    1,261.69x = 1,741.13 × 709.69
  4. Step 4: Simplify right side
    1,261.69x = 1,235,662.55
  5. Step 5: Solve for x
    x = 1,235,662.55/1,261.69
  6. Step 6: Final answer
    x = 979.37

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.