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Finding the Fourth Proportional to 853.10, 1,274.46 and 542.46

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Solution

The fourth proportional to 853.10, 1,274.46 and 542.46 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.10 : 1,274.46 = 542.46 : x
  2. Step 2: Convert to fraction form
    853.10/1,274.46 = 542.46/x
  3. Step 3: Cross multiply
    853.10x = 1,274.46 × 542.46
  4. Step 4: Simplify right side
    853.10x = 691,343.57
  5. Step 5: Solve for x
    x = 691,343.57/853.10
  6. Step 6: Final answer
    x = 810.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.