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Finding the Fourth Proportional to 658.30, 900.69 and 656.38

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Solution

The fourth proportional to 658.30, 900.69 and 656.38 is: 898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.30 : 900.69 = 656.38 : x
  2. Step 2: Convert to fraction form
    658.30/900.69 = 656.38/x
  3. Step 3: Cross multiply
    658.30x = 900.69 × 656.38
  4. Step 4: Simplify right side
    658.30x = 591,194.90
  5. Step 5: Solve for x
    x = 591,194.90/658.30
  6. Step 6: Final answer
    x = 898.06

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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.