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Finding the Fourth Proportional to 691.54, 1,031.97 and 617.62

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Solution

The fourth proportional to 691.54, 1,031.97 and 617.62 is: 921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 1,031.97 = 617.62 : x
  2. Step 2: Convert to fraction form
    691.54/1,031.97 = 617.62/x
  3. Step 3: Cross multiply
    691.54x = 1,031.97 × 617.62
  4. Step 4: Simplify right side
    691.54x = 637,365.31
  5. Step 5: Solve for x
    x = 637,365.31/691.54
  6. Step 6: Final answer
    x = 921.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.