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Finding the Fourth Proportional to 657.04, 902.24 and 632.76

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Solution

The fourth proportional to 657.04, 902.24 and 632.76 is: 868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.04 : 902.24 = 632.76 : x
  2. Step 2: Convert to fraction form
    657.04/902.24 = 632.76/x
  3. Step 3: Cross multiply
    657.04x = 902.24 × 632.76
  4. Step 4: Simplify right side
    657.04x = 570,901.38
  5. Step 5: Solve for x
    x = 570,901.38/657.04
  6. Step 6: Final answer
    x = 868.90

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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.