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Finding the Fourth Proportional to 672.50, 1,007.91 and 282.15

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Solution

The fourth proportional to 672.50, 1,007.91 and 282.15 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 1,007.91 = 282.15 : x
  2. Step 2: Convert to fraction form
    672.50/1,007.91 = 282.15/x
  3. Step 3: Cross multiply
    672.50x = 1,007.91 × 282.15
  4. Step 4: Simplify right side
    672.50x = 284,381.81
  5. Step 5: Solve for x
    x = 284,381.81/672.50
  6. Step 6: Final answer
    x = 422.87

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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.