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Finding the Fourth Proportional to 1,062.72, 1,593.12 and 548.16

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Solution

The fourth proportional to 1,062.72, 1,593.12 and 548.16 is: 821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.72 : 1,593.12 = 548.16 : x
  2. Step 2: Convert to fraction form
    1,062.72/1,593.12 = 548.16/x
  3. Step 3: Cross multiply
    1,062.72x = 1,593.12 × 548.16
  4. Step 4: Simplify right side
    1,062.72x = 873,284.66
  5. Step 5: Solve for x
    x = 873,284.66/1,062.72
  6. Step 6: Final answer
    x = 821.74

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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.