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Finding the Fourth Proportional to 1,052.13, 1,452.02 and 610.14

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Solution

The fourth proportional to 1,052.13, 1,452.02 and 610.14 is: 842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.13 : 1,452.02 = 610.14 : x
  2. Step 2: Convert to fraction form
    1,052.13/1,452.02 = 610.14/x
  3. Step 3: Cross multiply
    1,052.13x = 1,452.02 × 610.14
  4. Step 4: Simplify right side
    1,052.13x = 885,932.43
  5. Step 5: Solve for x
    x = 885,932.43/1,052.13
  6. Step 6: Final answer
    x = 842.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.