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Finding the Fourth Proportional to 1,498.78, 2,247.82 and 574.78

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Solution

The fourth proportional to 1,498.78, 2,247.82 and 574.78 is: 862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.78 : 2,247.82 = 574.78 : x
  2. Step 2: Convert to fraction form
    1,498.78/2,247.82 = 574.78/x
  3. Step 3: Cross multiply
    1,498.78x = 2,247.82 × 574.78
  4. Step 4: Simplify right side
    1,498.78x = 1,292,001.98
  5. Step 5: Solve for x
    x = 1,292,001.98/1,498.78
  6. Step 6: Final answer
    x = 862.04

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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.