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Finding the Fourth Proportional to 672.17, 1,007.24 and 452.52

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Solution

The fourth proportional to 672.17, 1,007.24 and 452.52 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.17 : 1,007.24 = 452.52 : x
  2. Step 2: Convert to fraction form
    672.17/1,007.24 = 452.52/x
  3. Step 3: Cross multiply
    672.17x = 1,007.24 × 452.52
  4. Step 4: Simplify right side
    672.17x = 455,793.98
  5. Step 5: Solve for x
    x = 455,793.98/672.17
  6. Step 6: Final answer
    x = 678.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.