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Finding the Fourth Proportional to 1,039.97, 1,560.27 and 390.80

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Solution

The fourth proportional to 1,039.97, 1,560.27 and 390.80 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.97 : 1,560.27 = 390.80 : x
  2. Step 2: Convert to fraction form
    1,039.97/1,560.27 = 390.80/x
  3. Step 3: Cross multiply
    1,039.97x = 1,560.27 × 390.80
  4. Step 4: Simplify right side
    1,039.97x = 609,753.52
  5. Step 5: Solve for x
    x = 609,753.52/1,039.97
  6. Step 6: Final answer
    x = 586.32

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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.