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Finding the Fourth Proportional to 850.83, 1,276.04 and 542.22

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Solution

The fourth proportional to 850.83, 1,276.04 and 542.22 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.83 : 1,276.04 = 542.22 : x
  2. Step 2: Convert to fraction form
    850.83/1,276.04 = 542.22/x
  3. Step 3: Cross multiply
    850.83x = 1,276.04 × 542.22
  4. Step 4: Simplify right side
    850.83x = 691,894.41
  5. Step 5: Solve for x
    x = 691,894.41/850.83
  6. Step 6: Final answer
    x = 813.20

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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.