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Finding the Fourth Proportional to 850.23, 1,277.46 and 542.21

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Solution

The fourth proportional to 850.23, 1,277.46 and 542.21 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.23 : 1,277.46 = 542.21 : x
  2. Step 2: Convert to fraction form
    850.23/1,277.46 = 542.21/x
  3. Step 3: Cross multiply
    850.23x = 1,277.46 × 542.21
  4. Step 4: Simplify right side
    850.23x = 692,645.20
  5. Step 5: Solve for x
    x = 692,645.20/850.23
  6. Step 6: Final answer
    x = 814.66

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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.