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Finding the Fourth Proportional to 1,032.78, 1,548.09 and 484.50

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Solution

The fourth proportional to 1,032.78, 1,548.09 and 484.50 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.78 : 1,548.09 = 484.50 : x
  2. Step 2: Convert to fraction form
    1,032.78/1,548.09 = 484.50/x
  3. Step 3: Cross multiply
    1,032.78x = 1,548.09 × 484.50
  4. Step 4: Simplify right side
    1,032.78x = 750,049.61
  5. Step 5: Solve for x
    x = 750,049.61/1,032.78
  6. Step 6: Final answer
    x = 726.24

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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.