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Finding the Fourth Proportional to 1,558.38, 2,337.99 and 827.76

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Solution

The fourth proportional to 1,558.38, 2,337.99 and 827.76 is: 1,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.38 : 2,337.99 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,558.38/2,337.99 = 827.76/x
  3. Step 3: Cross multiply
    1,558.38x = 2,337.99 × 827.76
  4. Step 4: Simplify right side
    1,558.38x = 1,935,294.60
  5. Step 5: Solve for x
    x = 1,935,294.60/1,558.38
  6. Step 6: Final answer
    x = 1,241.86

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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.