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Finding the Fourth Proportional to 672.32, 1,008.07 and 233.42

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Solution

The fourth proportional to 672.32, 1,008.07 and 233.42 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.32 : 1,008.07 = 233.42 : x
  2. Step 2: Convert to fraction form
    672.32/1,008.07 = 233.42/x
  3. Step 3: Cross multiply
    672.32x = 1,008.07 × 233.42
  4. Step 4: Simplify right side
    672.32x = 235,298.08
  5. Step 5: Solve for x
    x = 235,298.08/672.32
  6. Step 6: Final answer
    x = 349.98

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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.