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Finding the Fourth Proportional to 935.46, 1,403.19 and 691.23

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Solution

The fourth proportional to 935.46, 1,403.19 and 691.23 is: 1,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.46 : 1,403.19 = 691.23 : x
  2. Step 2: Convert to fraction form
    935.46/1,403.19 = 691.23/x
  3. Step 3: Cross multiply
    935.46x = 1,403.19 × 691.23
  4. Step 4: Simplify right side
    935.46x = 969,927.02
  5. Step 5: Solve for x
    x = 969,927.02/935.46
  6. Step 6: Final answer
    x = 1,036.85

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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.