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Finding the Fourth Proportional to 849.75, 1,274.68 and 542.20

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Solution

The fourth proportional to 849.75, 1,274.68 and 542.20 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.75 : 1,274.68 = 542.20 : x
  2. Step 2: Convert to fraction form
    849.75/1,274.68 = 542.20/x
  3. Step 3: Cross multiply
    849.75x = 1,274.68 × 542.20
  4. Step 4: Simplify right side
    849.75x = 691,131.50
  5. Step 5: Solve for x
    x = 691,131.50/849.75
  6. Step 6: Final answer
    x = 813.34

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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.