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Finding the Fourth Proportional to 716.92, 989.40 and 406.42

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Solution

The fourth proportional to 716.92, 989.40 and 406.42 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.92 : 989.40 = 406.42 : x
  2. Step 2: Convert to fraction form
    716.92/989.40 = 406.42/x
  3. Step 3: Cross multiply
    716.92x = 989.40 × 406.42
  4. Step 4: Simplify right side
    716.92x = 402,111.95
  5. Step 5: Solve for x
    x = 402,111.95/716.92
  6. Step 6: Final answer
    x = 560.89

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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.