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Finding the Fourth Proportional to 687.89, 1,031.85 and 322.58

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Solution

The fourth proportional to 687.89, 1,031.85 and 322.58 is: 483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 1,031.85 = 322.58 : x
  2. Step 2: Convert to fraction form
    687.89/1,031.85 = 322.58/x
  3. Step 3: Cross multiply
    687.89x = 1,031.85 × 322.58
  4. Step 4: Simplify right side
    687.89x = 332,854.17
  5. Step 5: Solve for x
    x = 332,854.17/687.89
  6. Step 6: Final answer
    x = 483.88

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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.