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Finding the Fourth Proportional to 915.56, 1,370.14 and 749.10

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Solution

The fourth proportional to 915.56, 1,370.14 and 749.10 is: 1,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.56 : 1,370.14 = 749.10 : x
  2. Step 2: Convert to fraction form
    915.56/1,370.14 = 749.10/x
  3. Step 3: Cross multiply
    915.56x = 1,370.14 × 749.10
  4. Step 4: Simplify right side
    915.56x = 1,026,370.00
  5. Step 5: Solve for x
    x = 1,026,370.00/915.56
  6. Step 6: Final answer
    x = 1,121.04

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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.