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Finding the Fourth Proportional to 981.78, 1,471.33 and 542.35

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Solution

The fourth proportional to 981.78, 1,471.33 and 542.35 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.78 : 1,471.33 = 542.35 : x
  2. Step 2: Convert to fraction form
    981.78/1,471.33 = 542.35/x
  3. Step 3: Cross multiply
    981.78x = 1,471.33 × 542.35
  4. Step 4: Simplify right side
    981.78x = 797,975.83
  5. Step 5: Solve for x
    x = 797,975.83/981.78
  6. Step 6: Final answer
    x = 812.78

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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.