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Finding the Fourth Proportional to 935.11, 1,290.74 and 542.23

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Solution

The fourth proportional to 935.11, 1,290.74 and 542.23 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.11 : 1,290.74 = 542.23 : x
  2. Step 2: Convert to fraction form
    935.11/1,290.74 = 542.23/x
  3. Step 3: Cross multiply
    935.11x = 1,290.74 × 542.23
  4. Step 4: Simplify right side
    935.11x = 699,877.95
  5. Step 5: Solve for x
    x = 699,877.95/935.11
  6. Step 6: Final answer
    x = 748.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.