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Finding the Fourth Proportional to 624.71, 935.17 and 501.95

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Solution

The fourth proportional to 624.71, 935.17 and 501.95 is: 751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.71 : 935.17 = 501.95 : x
  2. Step 2: Convert to fraction form
    624.71/935.17 = 501.95/x
  3. Step 3: Cross multiply
    624.71x = 935.17 × 501.95
  4. Step 4: Simplify right side
    624.71x = 469,408.58
  5. Step 5: Solve for x
    x = 469,408.58/624.71
  6. Step 6: Final answer
    x = 751.40

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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.