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Finding the Fourth Proportional to 658.01, 901.47 and 633.39

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Solution

The fourth proportional to 658.01, 901.47 and 633.39 is: 867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.01 : 901.47 = 633.39 : x
  2. Step 2: Convert to fraction form
    658.01/901.47 = 633.39/x
  3. Step 3: Cross multiply
    658.01x = 901.47 × 633.39
  4. Step 4: Simplify right side
    658.01x = 570,978.92
  5. Step 5: Solve for x
    x = 570,978.92/658.01
  6. Step 6: Final answer
    x = 867.74

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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.