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Finding the Fourth Proportional to 1,034.52, 1,552.02 and 547.46

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Solution

The fourth proportional to 1,034.52, 1,552.02 and 547.46 is: 821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.52 : 1,552.02 = 547.46 : x
  2. Step 2: Convert to fraction form
    1,034.52/1,552.02 = 547.46/x
  3. Step 3: Cross multiply
    1,034.52x = 1,552.02 × 547.46
  4. Step 4: Simplify right side
    1,034.52x = 849,667.96
  5. Step 5: Solve for x
    x = 849,667.96/1,034.52
  6. Step 6: Final answer
    x = 821.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.