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Finding the Fourth Proportional to 935.80, 1,290.87 and 542.77

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Solution

The fourth proportional to 935.80, 1,290.87 and 542.77 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.80 : 1,290.87 = 542.77 : x
  2. Step 2: Convert to fraction form
    935.80/1,290.87 = 542.77/x
  3. Step 3: Cross multiply
    935.80x = 1,290.87 × 542.77
  4. Step 4: Simplify right side
    935.80x = 700,645.51
  5. Step 5: Solve for x
    x = 700,645.51/935.80
  6. Step 6: Final answer
    x = 748.71

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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.