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Finding the Fourth Proportional to 866.70, 1,299.69 and 542.10

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Solution

The fourth proportional to 866.70, 1,299.69 and 542.10 is: 812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.70 : 1,299.69 = 542.10 : x
  2. Step 2: Convert to fraction form
    866.70/1,299.69 = 542.10/x
  3. Step 3: Cross multiply
    866.70x = 1,299.69 × 542.10
  4. Step 4: Simplify right side
    866.70x = 704,561.95
  5. Step 5: Solve for x
    x = 704,561.95/866.70
  6. Step 6: Final answer
    x = 812.92

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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.