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Finding the Fourth Proportional to 1,472.03, 2,207.82 and 815.12

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Solution

The fourth proportional to 1,472.03, 2,207.82 and 815.12 is: 1,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.03 : 2,207.82 = 815.12 : x
  2. Step 2: Convert to fraction form
    1,472.03/2,207.82 = 815.12/x
  3. Step 3: Cross multiply
    1,472.03x = 2,207.82 × 815.12
  4. Step 4: Simplify right side
    1,472.03x = 1,799,627.20
  5. Step 5: Solve for x
    x = 1,799,627.20/1,472.03
  6. Step 6: Final answer
    x = 1,222.55

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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.