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Finding the Fourth Proportional to 638.40, 951.99 and 587.91

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Solution

The fourth proportional to 638.40, 951.99 and 587.91 is: 876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.40 : 951.99 = 587.91 : x
  2. Step 2: Convert to fraction form
    638.40/951.99 = 587.91/x
  3. Step 3: Cross multiply
    638.40x = 951.99 × 587.91
  4. Step 4: Simplify right side
    638.40x = 559,684.44
  5. Step 5: Solve for x
    x = 559,684.44/638.40
  6. Step 6: Final answer
    x = 876.70

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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.