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Finding the Fourth Proportional to 658.24, 902.93 and 644.58

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Solution

The fourth proportional to 658.24, 902.93 and 644.58 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 902.93 = 644.58 : x
  2. Step 2: Convert to fraction form
    658.24/902.93 = 644.58/x
  3. Step 3: Cross multiply
    658.24x = 902.93 × 644.58
  4. Step 4: Simplify right side
    658.24x = 582,010.62
  5. Step 5: Solve for x
    x = 582,010.62/658.24
  6. Step 6: Final answer
    x = 884.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.