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Finding the Fourth Proportional to 1,568.90, 2,165.06 and 860.75

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Solution

The fourth proportional to 1,568.90, 2,165.06 and 860.75 is: 1,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.90 : 2,165.06 = 860.75 : x
  2. Step 2: Convert to fraction form
    1,568.90/2,165.06 = 860.75/x
  3. Step 3: Cross multiply
    1,568.90x = 2,165.06 × 860.75
  4. Step 4: Simplify right side
    1,568.90x = 1,863,560.27
  5. Step 5: Solve for x
    x = 1,863,560.27/1,568.90
  6. Step 6: Final answer
    x = 1,187.82

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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.