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Finding the Fourth Proportional to 632.40, 872.24 and 475.60

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Solution

The fourth proportional to 632.40, 872.24 and 475.60 is: 655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.40 : 872.24 = 475.60 : x
  2. Step 2: Convert to fraction form
    632.40/872.24 = 475.60/x
  3. Step 3: Cross multiply
    632.40x = 872.24 × 475.60
  4. Step 4: Simplify right side
    632.40x = 414,837.34
  5. Step 5: Solve for x
    x = 414,837.34/632.40
  6. Step 6: Final answer
    x = 655.97

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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.