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Finding the Fourth Proportional to 638.94, 962.76 and 525.92

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Solution

The fourth proportional to 638.94, 962.76 and 525.92 is: 792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 962.76 = 525.92 : x
  2. Step 2: Convert to fraction form
    638.94/962.76 = 525.92/x
  3. Step 3: Cross multiply
    638.94x = 962.76 × 525.92
  4. Step 4: Simplify right side
    638.94x = 506,333.42
  5. Step 5: Solve for x
    x = 506,333.42/638.94
  6. Step 6: Final answer
    x = 792.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.