Home / 1,276.23-1,914.35-410.61

Finding the Fourth Proportional to 1,276.23, 1,914.35 and 410.61

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Solution

The fourth proportional to 1,276.23, 1,914.35 and 410.61 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.23 : 1,914.35 = 410.61 : x
  2. Step 2: Convert to fraction form
    1,276.23/1,914.35 = 410.61/x
  3. Step 3: Cross multiply
    1,276.23x = 1,914.35 × 410.61
  4. Step 4: Simplify right side
    1,276.23x = 786,049.20
  5. Step 5: Solve for x
    x = 786,049.20/1,276.23
  6. Step 6: Final answer
    x = 615.92

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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.