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Finding the Fourth Proportional to 801.81, 1,205.46 and 741.69

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Solution

The fourth proportional to 801.81, 1,205.46 and 741.69 is: 1,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.81 : 1,205.46 = 741.69 : x
  2. Step 2: Convert to fraction form
    801.81/1,205.46 = 741.69/x
  3. Step 3: Cross multiply
    801.81x = 1,205.46 × 741.69
  4. Step 4: Simplify right side
    801.81x = 894,077.63
  5. Step 5: Solve for x
    x = 894,077.63/801.81
  6. Step 6: Final answer
    x = 1,115.07

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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.