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Finding the Fourth Proportional to 915.56, 1,371.20 and 709.46

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Solution

The fourth proportional to 915.56, 1,371.20 and 709.46 is: 1,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.56 : 1,371.20 = 709.46 : x
  2. Step 2: Convert to fraction form
    915.56/1,371.20 = 709.46/x
  3. Step 3: Cross multiply
    915.56x = 1,371.20 × 709.46
  4. Step 4: Simplify right side
    915.56x = 972,811.55
  5. Step 5: Solve for x
    x = 972,811.55/915.56
  6. Step 6: Final answer
    x = 1,062.53

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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.