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Finding the Fourth Proportional to 727.38, 1,003.83 and 432.66

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Solution

The fourth proportional to 727.38, 1,003.83 and 432.66 is: 597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.38 : 1,003.83 = 432.66 : x
  2. Step 2: Convert to fraction form
    727.38/1,003.83 = 432.66/x
  3. Step 3: Cross multiply
    727.38x = 1,003.83 × 432.66
  4. Step 4: Simplify right side
    727.38x = 434,317.09
  5. Step 5: Solve for x
    x = 434,317.09/727.38
  6. Step 6: Final answer
    x = 597.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.