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Finding the Fourth Proportional to 717.31, 989.71 and 455.23

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Solution

The fourth proportional to 717.31, 989.71 and 455.23 is: 628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.31 : 989.71 = 455.23 : x
  2. Step 2: Convert to fraction form
    717.31/989.71 = 455.23/x
  3. Step 3: Cross multiply
    717.31x = 989.71 × 455.23
  4. Step 4: Simplify right side
    717.31x = 450,545.68
  5. Step 5: Solve for x
    x = 450,545.68/717.31
  6. Step 6: Final answer
    x = 628.10

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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.