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Finding the Fourth Proportional to 709.52, 1,063.96 and 417.16

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Solution

The fourth proportional to 709.52, 1,063.96 and 417.16 is: 625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.52 : 1,063.96 = 417.16 : x
  2. Step 2: Convert to fraction form
    709.52/1,063.96 = 417.16/x
  3. Step 3: Cross multiply
    709.52x = 1,063.96 × 417.16
  4. Step 4: Simplify right side
    709.52x = 443,841.55
  5. Step 5: Solve for x
    x = 443,841.55/709.52
  6. Step 6: Final answer
    x = 625.55

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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.