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Finding the Fourth Proportional to 638.92, 956.46 and 598.92

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Solution

The fourth proportional to 638.92, 956.46 and 598.92 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.92 : 956.46 = 598.92 : x
  2. Step 2: Convert to fraction form
    638.92/956.46 = 598.92/x
  3. Step 3: Cross multiply
    638.92x = 956.46 × 598.92
  4. Step 4: Simplify right side
    638.92x = 572,843.02
  5. Step 5: Solve for x
    x = 572,843.02/638.92
  6. Step 6: Final answer
    x = 896.58

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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.