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Finding the Fourth Proportional to 1,169.80, 1,752.06 and 860.20

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Solution

The fourth proportional to 1,169.80, 1,752.06 and 860.20 is: 1,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.80 : 1,752.06 = 860.20 : x
  2. Step 2: Convert to fraction form
    1,169.80/1,752.06 = 860.20/x
  3. Step 3: Cross multiply
    1,169.80x = 1,752.06 × 860.20
  4. Step 4: Simplify right side
    1,169.80x = 1,507,122.01
  5. Step 5: Solve for x
    x = 1,507,122.01/1,169.80
  6. Step 6: Final answer
    x = 1,288.36

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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.