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Finding the Fourth Proportional to 691.85, 1,038.27 and 326.88

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Solution

The fourth proportional to 691.85, 1,038.27 and 326.88 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.85 : 1,038.27 = 326.88 : x
  2. Step 2: Convert to fraction form
    691.85/1,038.27 = 326.88/x
  3. Step 3: Cross multiply
    691.85x = 1,038.27 × 326.88
  4. Step 4: Simplify right side
    691.85x = 339,389.70
  5. Step 5: Solve for x
    x = 339,389.70/691.85
  6. Step 6: Final answer
    x = 490.56

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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.