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Finding the Fourth Proportional to 658.12, 982.91 and 521.32

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Solution

The fourth proportional to 658.12, 982.91 and 521.32 is: 778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.12 : 982.91 = 521.32 : x
  2. Step 2: Convert to fraction form
    658.12/982.91 = 521.32/x
  3. Step 3: Cross multiply
    658.12x = 982.91 × 521.32
  4. Step 4: Simplify right side
    658.12x = 512,410.64
  5. Step 5: Solve for x
    x = 512,410.64/658.12
  6. Step 6: Final answer
    x = 778.60

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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.