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Finding the Fourth Proportional to 981.34, 1,470.74 and 749.38

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Solution

The fourth proportional to 981.34, 1,470.74 and 749.38 is: 1,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.34 : 1,470.74 = 749.38 : x
  2. Step 2: Convert to fraction form
    981.34/1,470.74 = 749.38/x
  3. Step 3: Cross multiply
    981.34x = 1,470.74 × 749.38
  4. Step 4: Simplify right side
    981.34x = 1,102,143.14
  5. Step 5: Solve for x
    x = 1,102,143.14/981.34
  6. Step 6: Final answer
    x = 1,123.10

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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.