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Finding the Fourth Proportional to 653.52, 902.13 and 467.09

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Solution

The fourth proportional to 653.52, 902.13 and 467.09 is: 644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 902.13 = 467.09 : x
  2. Step 2: Convert to fraction form
    653.52/902.13 = 467.09/x
  3. Step 3: Cross multiply
    653.52x = 902.13 × 467.09
  4. Step 4: Simplify right side
    653.52x = 421,375.90
  5. Step 5: Solve for x
    x = 421,375.90/653.52
  6. Step 6: Final answer
    x = 644.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.