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Finding the Fourth Proportional to 1,280.74, 1,910.78 and 1,142.23

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Solution

The fourth proportional to 1,280.74, 1,910.78 and 1,142.23 is: 1,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.74 : 1,910.78 = 1,142.23 : x
  2. Step 2: Convert to fraction form
    1,280.74/1,910.78 = 1,142.23/x
  3. Step 3: Cross multiply
    1,280.74x = 1,910.78 × 1,142.23
  4. Step 4: Simplify right side
    1,280.74x = 2,182,550.24
  5. Step 5: Solve for x
    x = 2,182,550.24/1,280.74
  6. Step 6: Final answer
    x = 1,704.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.