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Finding the Fourth Proportional to 935.76, 1,291.26 and 542.85

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Solution

The fourth proportional to 935.76, 1,291.26 and 542.85 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.76 : 1,291.26 = 542.85 : x
  2. Step 2: Convert to fraction form
    935.76/1,291.26 = 542.85/x
  3. Step 3: Cross multiply
    935.76x = 1,291.26 × 542.85
  4. Step 4: Simplify right side
    935.76x = 700,960.49
  5. Step 5: Solve for x
    x = 700,960.49/935.76
  6. Step 6: Final answer
    x = 749.08

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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.