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Finding the Fourth Proportional to 657.20, 902.74 and 637.76

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Solution

The fourth proportional to 657.20, 902.74 and 637.76 is: 876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 902.74 = 637.76 : x
  2. Step 2: Convert to fraction form
    657.20/902.74 = 637.76/x
  3. Step 3: Cross multiply
    657.20x = 902.74 × 637.76
  4. Step 4: Simplify right side
    657.20x = 575,731.46
  5. Step 5: Solve for x
    x = 575,731.46/657.20
  6. Step 6: Final answer
    x = 876.04

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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.