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Finding the Fourth Proportional to 1,327.85, 1,991.78 and 915.74

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Solution

The fourth proportional to 1,327.85, 1,991.78 and 915.74 is: 1,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.85 : 1,991.78 = 915.74 : x
  2. Step 2: Convert to fraction form
    1,327.85/1,991.78 = 915.74/x
  3. Step 3: Cross multiply
    1,327.85x = 1,991.78 × 915.74
  4. Step 4: Simplify right side
    1,327.85x = 1,823,938.08
  5. Step 5: Solve for x
    x = 1,823,938.08/1,327.85
  6. Step 6: Final answer
    x = 1,373.61

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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.