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Finding the Fourth Proportional to 853.39, 1,274.95 and 542.62

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Solution

The fourth proportional to 853.39, 1,274.95 and 542.62 is: 810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.39 : 1,274.95 = 542.62 : x
  2. Step 2: Convert to fraction form
    853.39/1,274.95 = 542.62/x
  3. Step 3: Cross multiply
    853.39x = 1,274.95 × 542.62
  4. Step 4: Simplify right side
    853.39x = 691,813.37
  5. Step 5: Solve for x
    x = 691,813.37/853.39
  6. Step 6: Final answer
    x = 810.66

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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.