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Finding the Fourth Proportional to 915.42, 1,261.80 and 749.34

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Solution

The fourth proportional to 915.42, 1,261.80 and 749.34 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.42 : 1,261.80 = 749.34 : x
  2. Step 2: Convert to fraction form
    915.42/1,261.80 = 749.34/x
  3. Step 3: Cross multiply
    915.42x = 1,261.80 × 749.34
  4. Step 4: Simplify right side
    915.42x = 945,517.21
  5. Step 5: Solve for x
    x = 945,517.21/915.42
  6. Step 6: Final answer
    x = 1,032.88

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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.