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Finding the Fourth Proportional to 672.54, 1,008.89 and 233.83

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Solution

The fourth proportional to 672.54, 1,008.89 and 233.83 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.54 : 1,008.89 = 233.83 : x
  2. Step 2: Convert to fraction form
    672.54/1,008.89 = 233.83/x
  3. Step 3: Cross multiply
    672.54x = 1,008.89 × 233.83
  4. Step 4: Simplify right side
    672.54x = 235,908.75
  5. Step 5: Solve for x
    x = 235,908.75/672.54
  6. Step 6: Final answer
    x = 350.77

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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.