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Finding the Fourth Proportional to 658.32, 982.38 and 585.60

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Solution

The fourth proportional to 658.32, 982.38 and 585.60 is: 873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 982.38 = 585.60 : x
  2. Step 2: Convert to fraction form
    658.32/982.38 = 585.60/x
  3. Step 3: Cross multiply
    658.32x = 982.38 × 585.60
  4. Step 4: Simplify right side
    658.32x = 575,281.73
  5. Step 5: Solve for x
    x = 575,281.73/658.32
  6. Step 6: Final answer
    x = 873.86

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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.