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Finding the Fourth Proportional to 638.52, 956.88 and 378.58

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Solution

The fourth proportional to 638.52, 956.88 and 378.58 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 956.88 = 378.58 : x
  2. Step 2: Convert to fraction form
    638.52/956.88 = 378.58/x
  3. Step 3: Cross multiply
    638.52x = 956.88 × 378.58
  4. Step 4: Simplify right side
    638.52x = 362,253.24
  5. Step 5: Solve for x
    x = 362,253.24/638.52
  6. Step 6: Final answer
    x = 567.33

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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.