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Finding the Fourth Proportional to 496.60, 685.92 and 469.24

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Solution

The fourth proportional to 496.60, 685.92 and 469.24 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.60 : 685.92 = 469.24 : x
  2. Step 2: Convert to fraction form
    496.60/685.92 = 469.24/x
  3. Step 3: Cross multiply
    496.60x = 685.92 × 469.24
  4. Step 4: Simplify right side
    496.60x = 321,861.10
  5. Step 5: Solve for x
    x = 321,861.10/496.60
  6. Step 6: Final answer
    x = 648.13

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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.