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Finding the Fourth Proportional to 1,280.61, 1,767.33 and 721.13

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Solution

The fourth proportional to 1,280.61, 1,767.33 and 721.13 is: 995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.61 : 1,767.33 = 721.13 : x
  2. Step 2: Convert to fraction form
    1,280.61/1,767.33 = 721.13/x
  3. Step 3: Cross multiply
    1,280.61x = 1,767.33 × 721.13
  4. Step 4: Simplify right side
    1,280.61x = 1,274,462.24
  5. Step 5: Solve for x
    x = 1,274,462.24/1,280.61
  6. Step 6: Final answer
    x = 995.20

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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.