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Finding the Fourth Proportional to 1,740.48, 2,611.20 and 766.80

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Solution

The fourth proportional to 1,740.48, 2,611.20 and 766.80 is: 1,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.48 : 2,611.20 = 766.80 : x
  2. Step 2: Convert to fraction form
    1,740.48/2,611.20 = 766.80/x
  3. Step 3: Cross multiply
    1,740.48x = 2,611.20 × 766.80
  4. Step 4: Simplify right side
    1,740.48x = 2,002,268.16
  5. Step 5: Solve for x
    x = 2,002,268.16/1,740.48
  6. Step 6: Final answer
    x = 1,150.41

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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.