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Finding the Fourth Proportional to 632.84, 872.38 and 445.72

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Solution

The fourth proportional to 632.84, 872.38 and 445.72 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 872.38 = 445.72 : x
  2. Step 2: Convert to fraction form
    632.84/872.38 = 445.72/x
  3. Step 3: Cross multiply
    632.84x = 872.38 × 445.72
  4. Step 4: Simplify right side
    632.84x = 388,837.21
  5. Step 5: Solve for x
    x = 388,837.21/632.84
  6. Step 6: Final answer
    x = 614.43

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Double scale
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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.