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Finding the Fourth Proportional to 1,162.81, 1,744.62 and 432.73

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Solution

The fourth proportional to 1,162.81, 1,744.62 and 432.73 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.81 : 1,744.62 = 432.73 : x
  2. Step 2: Convert to fraction form
    1,162.81/1,744.62 = 432.73/x
  3. Step 3: Cross multiply
    1,162.81x = 1,744.62 × 432.73
  4. Step 4: Simplify right side
    1,162.81x = 754,949.41
  5. Step 5: Solve for x
    x = 754,949.41/1,162.81
  6. Step 6: Final answer
    x = 649.25

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Double scale
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1.5x scale

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.