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Finding the Fourth Proportional to 1,280.61, 1,920.92 and 1,008.15

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Solution

The fourth proportional to 1,280.61, 1,920.92 and 1,008.15 is: 1,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.61 : 1,920.92 = 1,008.15 : x
  2. Step 2: Convert to fraction form
    1,280.61/1,920.92 = 1,008.15/x
  3. Step 3: Cross multiply
    1,280.61x = 1,920.92 × 1,008.15
  4. Step 4: Simplify right side
    1,280.61x = 1,936,563.25
  5. Step 5: Solve for x
    x = 1,936,563.25/1,280.61
  6. Step 6: Final answer
    x = 1,512.22

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1.5x scale

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.