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Finding the Fourth Proportional to 716.86, 989.28 and 406.36

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Solution

The fourth proportional to 716.86, 989.28 and 406.36 is: 560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.86 : 989.28 = 406.36 : x
  2. Step 2: Convert to fraction form
    716.86/989.28 = 406.36/x
  3. Step 3: Cross multiply
    716.86x = 989.28 × 406.36
  4. Step 4: Simplify right side
    716.86x = 402,003.82
  5. Step 5: Solve for x
    x = 402,003.82/716.86
  6. Step 6: Final answer
    x = 560.78

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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.