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Finding the Fourth Proportional to 632.78, 872.24 and 445.71

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Solution

The fourth proportional to 632.78, 872.24 and 445.71 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 872.24 = 445.71 : x
  2. Step 2: Convert to fraction form
    632.78/872.24 = 445.71/x
  3. Step 3: Cross multiply
    632.78x = 872.24 × 445.71
  4. Step 4: Simplify right side
    632.78x = 388,763.86
  5. Step 5: Solve for x
    x = 388,763.86/632.78
  6. Step 6: Final answer
    x = 614.38

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1.5x scale

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.