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Finding the Fourth Proportional to 1,015.73, 1,523.60 and 285.31

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Solution

The fourth proportional to 1,015.73, 1,523.60 and 285.31 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.73 : 1,523.60 = 285.31 : x
  2. Step 2: Convert to fraction form
    1,015.73/1,523.60 = 285.31/x
  3. Step 3: Cross multiply
    1,015.73x = 1,523.60 × 285.31
  4. Step 4: Simplify right side
    1,015.73x = 434,689.27
  5. Step 5: Solve for x
    x = 434,689.27/1,015.73
  6. Step 6: Final answer
    x = 427.96

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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.