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Finding the Fourth Proportional to 915.93, 1,370.71 and 749.48

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Solution

The fourth proportional to 915.93, 1,370.71 and 749.48 is: 1,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.93 : 1,370.71 = 749.48 : x
  2. Step 2: Convert to fraction form
    915.93/1,370.71 = 749.48/x
  3. Step 3: Cross multiply
    915.93x = 1,370.71 × 749.48
  4. Step 4: Simplify right side
    915.93x = 1,027,309.13
  5. Step 5: Solve for x
    x = 1,027,309.13/915.93
  6. Step 6: Final answer
    x = 1,121.60

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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.