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Finding the Fourth Proportional to 638.98, 962.84 and 525.96

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Solution

The fourth proportional to 638.98, 962.84 and 525.96 is: 792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.98 : 962.84 = 525.96 : x
  2. Step 2: Convert to fraction form
    638.98/962.84 = 525.96/x
  3. Step 3: Cross multiply
    638.98x = 962.84 × 525.96
  4. Step 4: Simplify right side
    638.98x = 506,416.64
  5. Step 5: Solve for x
    x = 506,416.64/638.98
  6. Step 6: Final answer
    x = 792.54

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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.