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Finding the Fourth Proportional to 658.64, 985.80 and 598.88

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Solution

The fourth proportional to 658.64, 985.80 and 598.88 is: 896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 985.80 = 598.88 : x
  2. Step 2: Convert to fraction form
    658.64/985.80 = 598.88/x
  3. Step 3: Cross multiply
    658.64x = 985.80 × 598.88
  4. Step 4: Simplify right side
    658.64x = 590,375.90
  5. Step 5: Solve for x
    x = 590,375.90/658.64
  6. Step 6: Final answer
    x = 896.36

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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.