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Finding the Fourth Proportional to 709.58, 1,060.62 and 616.29

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Solution

The fourth proportional to 709.58, 1,060.62 and 616.29 is: 921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.58 : 1,060.62 = 616.29 : x
  2. Step 2: Convert to fraction form
    709.58/1,060.62 = 616.29/x
  3. Step 3: Cross multiply
    709.58x = 1,060.62 × 616.29
  4. Step 4: Simplify right side
    709.58x = 653,649.50
  5. Step 5: Solve for x
    x = 653,649.50/709.58
  6. Step 6: Final answer
    x = 921.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.