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Finding the Fourth Proportional to 1,166.37, 1,749.39 and 344.49

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Solution

The fourth proportional to 1,166.37, 1,749.39 and 344.49 is: 516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.37 : 1,749.39 = 344.49 : x
  2. Step 2: Convert to fraction form
    1,166.37/1,749.39 = 344.49/x
  3. Step 3: Cross multiply
    1,166.37x = 1,749.39 × 344.49
  4. Step 4: Simplify right side
    1,166.37x = 602,647.36
  5. Step 5: Solve for x
    x = 602,647.36/1,166.37
  6. Step 6: Final answer
    x = 516.69

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.