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Finding the Fourth Proportional to 641.16, 962.10 and 497.70

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Solution

The fourth proportional to 641.16, 962.10 and 497.70 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.16 : 962.10 = 497.70 : x
  2. Step 2: Convert to fraction form
    641.16/962.10 = 497.70/x
  3. Step 3: Cross multiply
    641.16x = 962.10 × 497.70
  4. Step 4: Simplify right side
    641.16x = 478,837.17
  5. Step 5: Solve for x
    x = 478,837.17/641.16
  6. Step 6: Final answer
    x = 746.83

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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.