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Finding the Fourth Proportional to 672.16, 1,006.62 and 428.35

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Solution

The fourth proportional to 672.16, 1,006.62 and 428.35 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 1,006.62 = 428.35 : x
  2. Step 2: Convert to fraction form
    672.16/1,006.62 = 428.35/x
  3. Step 3: Cross multiply
    672.16x = 1,006.62 × 428.35
  4. Step 4: Simplify right side
    672.16x = 431,185.68
  5. Step 5: Solve for x
    x = 431,185.68/672.16
  6. Step 6: Final answer
    x = 641.49

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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.