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Finding the Fourth Proportional to 935.59, 1,405.23 and 806.71

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Solution

The fourth proportional to 935.59, 1,405.23 and 806.71 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.59 : 1,405.23 = 806.71 : x
  2. Step 2: Convert to fraction form
    935.59/1,405.23 = 806.71/x
  3. Step 3: Cross multiply
    935.59x = 1,405.23 × 806.71
  4. Step 4: Simplify right side
    935.59x = 1,133,613.09
  5. Step 5: Solve for x
    x = 1,133,613.09/935.59
  6. Step 6: Final answer
    x = 1,211.66

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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.