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Finding the Fourth Proportional to 716.59, 987.99 and 495.16

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Solution

The fourth proportional to 716.59, 987.99 and 495.16 is: 682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.59 : 987.99 = 495.16 : x
  2. Step 2: Convert to fraction form
    716.59/987.99 = 495.16/x
  3. Step 3: Cross multiply
    716.59x = 987.99 × 495.16
  4. Step 4: Simplify right side
    716.59x = 489,213.13
  5. Step 5: Solve for x
    x = 489,213.13/716.59
  6. Step 6: Final answer
    x = 682.70

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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.