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Finding the Fourth Proportional to 1,280.34, 1,766.34 and 1,044.90

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Solution

The fourth proportional to 1,280.34, 1,766.34 and 1,044.90 is: 1,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.34 : 1,766.34 = 1,044.90 : x
  2. Step 2: Convert to fraction form
    1,280.34/1,766.34 = 1,044.90/x
  3. Step 3: Cross multiply
    1,280.34x = 1,766.34 × 1,044.90
  4. Step 4: Simplify right side
    1,280.34x = 1,845,648.67
  5. Step 5: Solve for x
    x = 1,845,648.67/1,280.34
  6. Step 6: Final answer
    x = 1,441.53

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1.5x scale

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.