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Finding the Fourth Proportional to 1,043.41, 1,565.17 and 860.47

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Solution

The fourth proportional to 1,043.41, 1,565.17 and 860.47 is: 1,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.41 : 1,565.17 = 860.47 : x
  2. Step 2: Convert to fraction form
    1,043.41/1,565.17 = 860.47/x
  3. Step 3: Cross multiply
    1,043.41x = 1,565.17 × 860.47
  4. Step 4: Simplify right side
    1,043.41x = 1,346,769.70
  5. Step 5: Solve for x
    x = 1,346,769.70/1,043.41
  6. Step 6: Final answer
    x = 1,290.74

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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.