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Finding the Fourth Proportional to 935.44, 1,403.20 and 691.24

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Solution

The fourth proportional to 935.44, 1,403.20 and 691.24 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.44 : 1,403.20 = 691.24 : x
  2. Step 2: Convert to fraction form
    935.44/1,403.20 = 691.24/x
  3. Step 3: Cross multiply
    935.44x = 1,403.20 × 691.24
  4. Step 4: Simplify right side
    935.44x = 969,947.97
  5. Step 5: Solve for x
    x = 969,947.97/935.44
  6. Step 6: Final answer
    x = 1,036.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.