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Finding the Fourth Proportional to 672.20, 1,006.50 and 383.24

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Solution

The fourth proportional to 672.20, 1,006.50 and 383.24 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.20 : 1,006.50 = 383.24 : x
  2. Step 2: Convert to fraction form
    672.20/1,006.50 = 383.24/x
  3. Step 3: Cross multiply
    672.20x = 1,006.50 × 383.24
  4. Step 4: Simplify right side
    672.20x = 385,731.06
  5. Step 5: Solve for x
    x = 385,731.06/672.20
  6. Step 6: Final answer
    x = 573.83

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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.