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Finding the Fourth Proportional to 1,040.47, 1,560.78 and 391.20

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Solution

The fourth proportional to 1,040.47, 1,560.78 and 391.20 is: 586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.47 : 1,560.78 = 391.20 : x
  2. Step 2: Convert to fraction form
    1,040.47/1,560.78 = 391.20/x
  3. Step 3: Cross multiply
    1,040.47x = 1,560.78 × 391.20
  4. Step 4: Simplify right side
    1,040.47x = 610,577.14
  5. Step 5: Solve for x
    x = 610,577.14/1,040.47
  6. Step 6: Final answer
    x = 586.83

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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.