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Finding the Fourth Proportional to 658.20, 904.11 and 638.76

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Solution

The fourth proportional to 658.20, 904.11 and 638.76 is: 877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 904.11 = 638.76 : x
  2. Step 2: Convert to fraction form
    658.20/904.11 = 638.76/x
  3. Step 3: Cross multiply
    658.20x = 904.11 × 638.76
  4. Step 4: Simplify right side
    658.20x = 577,509.30
  5. Step 5: Solve for x
    x = 577,509.30/658.20
  6. Step 6: Final answer
    x = 877.41

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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.