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Finding the Fourth Proportional to 1,168.20, 1,748.52 and 860.00

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Solution

The fourth proportional to 1,168.20, 1,748.52 and 860.00 is: 1,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.20 : 1,748.52 = 860.00 : x
  2. Step 2: Convert to fraction form
    1,168.20/1,748.52 = 860.00/x
  3. Step 3: Cross multiply
    1,168.20x = 1,748.52 × 860.00
  4. Step 4: Simplify right side
    1,168.20x = 1,503,718.46
  5. Step 5: Solve for x
    x = 1,503,718.46/1,168.20
  6. Step 6: Final answer
    x = 1,287.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.