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Finding the Fourth Proportional to 461.91, 691.49 and 278.75

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Solution

The fourth proportional to 461.91, 691.49 and 278.75 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 691.49 = 278.75 : x
  2. Step 2: Convert to fraction form
    461.91/691.49 = 278.75/x
  3. Step 3: Cross multiply
    461.91x = 691.49 × 278.75
  4. Step 4: Simplify right side
    461.91x = 192,747.99
  5. Step 5: Solve for x
    x = 192,747.99/461.91
  6. Step 6: Final answer
    x = 417.28

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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.