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Finding the Fourth Proportional to 1,040.31, 1,560.41 and 584.31

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Solution

The fourth proportional to 1,040.31, 1,560.41 and 584.31 is: 876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.31 : 1,560.41 = 584.31 : x
  2. Step 2: Convert to fraction form
    1,040.31/1,560.41 = 584.31/x
  3. Step 3: Cross multiply
    1,040.31x = 1,560.41 × 584.31
  4. Step 4: Simplify right side
    1,040.31x = 911,760.25
  5. Step 5: Solve for x
    x = 911,760.25/1,040.31
  6. Step 6: Final answer
    x = 876.43

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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.