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Finding the Fourth Proportional to 1,016.12, 1,402.25 and 596.48

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Solution

The fourth proportional to 1,016.12, 1,402.25 and 596.48 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.12 : 1,402.25 = 596.48 : x
  2. Step 2: Convert to fraction form
    1,016.12/1,402.25 = 596.48/x
  3. Step 3: Cross multiply
    1,016.12x = 1,402.25 × 596.48
  4. Step 4: Simplify right side
    1,016.12x = 836,414.08
  5. Step 5: Solve for x
    x = 836,414.08/1,016.12
  6. Step 6: Final answer
    x = 823.14

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Why These Related Problems?

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