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Finding the Fourth Proportional to 981.90, 1,471.80 and 542.67

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Solution

The fourth proportional to 981.90, 1,471.80 and 542.67 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,471.80 = 542.67 : x
  2. Step 2: Convert to fraction form
    981.90/1,471.80 = 542.67/x
  3. Step 3: Cross multiply
    981.90x = 1,471.80 × 542.67
  4. Step 4: Simplify right side
    981.90x = 798,701.71
  5. Step 5: Solve for x
    x = 798,701.71/981.90
  6. Step 6: Final answer
    x = 813.42

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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.