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Finding the Fourth Proportional to 1,034.15, 1,552.28 and 548.24

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Solution

The fourth proportional to 1,034.15, 1,552.28 and 548.24 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.15 : 1,552.28 = 548.24 : x
  2. Step 2: Convert to fraction form
    1,034.15/1,552.28 = 548.24/x
  3. Step 3: Cross multiply
    1,034.15x = 1,552.28 × 548.24
  4. Step 4: Simplify right side
    1,034.15x = 851,011.48
  5. Step 5: Solve for x
    x = 851,011.48/1,034.15
  6. Step 6: Final answer
    x = 822.91

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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.