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Finding the Fourth Proportional to 691.64, 1,038.33 and 449.18

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Solution

The fourth proportional to 691.64, 1,038.33 and 449.18 is: 674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 1,038.33 = 449.18 : x
  2. Step 2: Convert to fraction form
    691.64/1,038.33 = 449.18/x
  3. Step 3: Cross multiply
    691.64x = 1,038.33 × 449.18
  4. Step 4: Simplify right side
    691.64x = 466,391.88
  5. Step 5: Solve for x
    x = 466,391.88/691.64
  6. Step 6: Final answer
    x = 674.33

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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.