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Finding the Fourth Proportional to 744.35, 1,116.53 and 513.17

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Solution

The fourth proportional to 744.35, 1,116.53 and 513.17 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.35 : 1,116.53 = 513.17 : x
  2. Step 2: Convert to fraction form
    744.35/1,116.53 = 513.17/x
  3. Step 3: Cross multiply
    744.35x = 1,116.53 × 513.17
  4. Step 4: Simplify right side
    744.35x = 572,973.77
  5. Step 5: Solve for x
    x = 572,973.77/744.35
  6. Step 6: Final answer
    x = 769.77

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Double scale
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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.