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Finding the Fourth Proportional to 1,247.28, 1,719.44 and 915.12

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Solution

The fourth proportional to 1,247.28, 1,719.44 and 915.12 is: 1,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.28 : 1,719.44 = 915.12 : x
  2. Step 2: Convert to fraction form
    1,247.28/1,719.44 = 915.12/x
  3. Step 3: Cross multiply
    1,247.28x = 1,719.44 × 915.12
  4. Step 4: Simplify right side
    1,247.28x = 1,573,493.93
  5. Step 5: Solve for x
    x = 1,573,493.93/1,247.28
  6. Step 6: Final answer
    x = 1,261.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.