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Finding the Fourth Proportional to 1,040.81, 1,436.41 and 575.15

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Solution

The fourth proportional to 1,040.81, 1,436.41 and 575.15 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.81 : 1,436.41 = 575.15 : x
  2. Step 2: Convert to fraction form
    1,040.81/1,436.41 = 575.15/x
  3. Step 3: Cross multiply
    1,040.81x = 1,436.41 × 575.15
  4. Step 4: Simplify right side
    1,040.81x = 826,156.24
  5. Step 5: Solve for x
    x = 826,156.24/1,040.81
  6. Step 6: Final answer
    x = 793.76

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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.