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Finding the Fourth Proportional to 717.31, 989.89 and 406.81

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Solution

The fourth proportional to 717.31, 989.89 and 406.81 is: 561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.31 : 989.89 = 406.81 : x
  2. Step 2: Convert to fraction form
    717.31/989.89 = 406.81/x
  3. Step 3: Cross multiply
    717.31x = 989.89 × 406.81
  4. Step 4: Simplify right side
    717.31x = 402,700.13
  5. Step 5: Solve for x
    x = 402,700.13/717.31
  6. Step 6: Final answer
    x = 561.40

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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.