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Finding the Fourth Proportional to 717.58, 1,073.93 and 429.22

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Solution

The fourth proportional to 717.58, 1,073.93 and 429.22 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.58 : 1,073.93 = 429.22 : x
  2. Step 2: Convert to fraction form
    717.58/1,073.93 = 429.22/x
  3. Step 3: Cross multiply
    717.58x = 1,073.93 × 429.22
  4. Step 4: Simplify right side
    717.58x = 460,946.86
  5. Step 5: Solve for x
    x = 460,946.86/717.58
  6. Step 6: Final answer
    x = 642.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.