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Finding the Fourth Proportional to 1,016.32, 1,524.39 and 285.90

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Solution

The fourth proportional to 1,016.32, 1,524.39 and 285.90 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.32 : 1,524.39 = 285.90 : x
  2. Step 2: Convert to fraction form
    1,016.32/1,524.39 = 285.90/x
  3. Step 3: Cross multiply
    1,016.32x = 1,524.39 × 285.90
  4. Step 4: Simplify right side
    1,016.32x = 435,823.10
  5. Step 5: Solve for x
    x = 435,823.10/1,016.32
  6. Step 6: Final answer
    x = 428.82

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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.