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Finding the Fourth Proportional to 632.70, 872.64 and 475.38

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Solution

The fourth proportional to 632.70, 872.64 and 475.38 is: 655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 872.64 = 475.38 : x
  2. Step 2: Convert to fraction form
    632.70/872.64 = 475.38/x
  3. Step 3: Cross multiply
    632.70x = 872.64 × 475.38
  4. Step 4: Simplify right side
    632.70x = 414,835.60
  5. Step 5: Solve for x
    x = 414,835.60/632.70
  6. Step 6: Final answer
    x = 655.66

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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.