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Finding the Fourth Proportional to 1,016.10, 1,523.84 and 285.71

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Solution

The fourth proportional to 1,016.10, 1,523.84 and 285.71 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.10 : 1,523.84 = 285.71 : x
  2. Step 2: Convert to fraction form
    1,016.10/1,523.84 = 285.71/x
  3. Step 3: Cross multiply
    1,016.10x = 1,523.84 × 285.71
  4. Step 4: Simplify right side
    1,016.10x = 435,367.28
  5. Step 5: Solve for x
    x = 435,367.28/1,016.10
  6. Step 6: Final answer
    x = 428.47

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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.