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Finding the Fourth Proportional to 981.03, 1,470.27 and 749.07

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Solution

The fourth proportional to 981.03, 1,470.27 and 749.07 is: 1,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.03 : 1,470.27 = 749.07 : x
  2. Step 2: Convert to fraction form
    981.03/1,470.27 = 749.07/x
  3. Step 3: Cross multiply
    981.03x = 1,470.27 × 749.07
  4. Step 4: Simplify right side
    981.03x = 1,101,335.15
  5. Step 5: Solve for x
    x = 1,101,335.15/981.03
  6. Step 6: Final answer
    x = 1,122.63

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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.