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Finding the Fourth Proportional to 1,040.11, 1,435.51 and 685.98

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Solution

The fourth proportional to 1,040.11, 1,435.51 and 685.98 is: 946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.11 : 1,435.51 = 685.98 : x
  2. Step 2: Convert to fraction form
    1,040.11/1,435.51 = 685.98/x
  3. Step 3: Cross multiply
    1,040.11x = 1,435.51 × 685.98
  4. Step 4: Simplify right side
    1,040.11x = 984,731.15
  5. Step 5: Solve for x
    x = 984,731.15/1,040.11
  6. Step 6: Final answer
    x = 946.76

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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.