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Finding the Fourth Proportional to 1,204.92, 1,806.17 and 915.75

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Solution

The fourth proportional to 1,204.92, 1,806.17 and 915.75 is: 1,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.92 : 1,806.17 = 915.75 : x
  2. Step 2: Convert to fraction form
    1,204.92/1,806.17 = 915.75/x
  3. Step 3: Cross multiply
    1,204.92x = 1,806.17 × 915.75
  4. Step 4: Simplify right side
    1,204.92x = 1,653,995.60
  5. Step 5: Solve for x
    x = 1,653,995.60/1,204.92
  6. Step 6: Final answer
    x = 1,372.70

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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.