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Finding the Fourth Proportional to 716.53, 988.77 and 432.95

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Solution

The fourth proportional to 716.53, 988.77 and 432.95 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.53 : 988.77 = 432.95 : x
  2. Step 2: Convert to fraction form
    716.53/988.77 = 432.95/x
  3. Step 3: Cross multiply
    716.53x = 988.77 × 432.95
  4. Step 4: Simplify right side
    716.53x = 428,087.97
  5. Step 5: Solve for x
    x = 428,087.97/716.53
  6. Step 6: Final answer
    x = 597.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.