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Finding the Fourth Proportional to 727.38, 1,088.24 and 435.11

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Solution

The fourth proportional to 727.38, 1,088.24 and 435.11 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.38 : 1,088.24 = 435.11 : x
  2. Step 2: Convert to fraction form
    727.38/1,088.24 = 435.11/x
  3. Step 3: Cross multiply
    727.38x = 1,088.24 × 435.11
  4. Step 4: Simplify right side
    727.38x = 473,496.49
  5. Step 5: Solve for x
    x = 473,496.49/727.38
  6. Step 6: Final answer
    x = 650.96

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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.