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Finding the Fourth Proportional to 1,180.55, 1,629.77 and 761.15

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Solution

The fourth proportional to 1,180.55, 1,629.77 and 761.15 is: 1,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.55 : 1,629.77 = 761.15 : x
  2. Step 2: Convert to fraction form
    1,180.55/1,629.77 = 761.15/x
  3. Step 3: Cross multiply
    1,180.55x = 1,629.77 × 761.15
  4. Step 4: Simplify right side
    1,180.55x = 1,240,487.48
  5. Step 5: Solve for x
    x = 1,240,487.48/1,180.55
  6. Step 6: Final answer
    x = 1,050.78

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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.