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Finding the Fourth Proportional to 658.62, 983.26 and 585.72

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Solution

The fourth proportional to 658.62, 983.26 and 585.72 is: 874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 983.26 = 585.72 : x
  2. Step 2: Convert to fraction form
    658.62/983.26 = 585.72/x
  3. Step 3: Cross multiply
    658.62x = 983.26 × 585.72
  4. Step 4: Simplify right side
    658.62x = 575,915.05
  5. Step 5: Solve for x
    x = 575,915.05/658.62
  6. Step 6: Final answer
    x = 874.43

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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.