Home / 1,649.20-2,470.08-825.70

Finding the Fourth Proportional to 1,649.20, 2,470.08 and 825.70

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Solution

The fourth proportional to 1,649.20, 2,470.08 and 825.70 is: 1,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.20 : 2,470.08 = 825.70 : x
  2. Step 2: Convert to fraction form
    1,649.20/2,470.08 = 825.70/x
  3. Step 3: Cross multiply
    1,649.20x = 2,470.08 × 825.70
  4. Step 4: Simplify right side
    1,649.20x = 2,039,545.06
  5. Step 5: Solve for x
    x = 2,039,545.06/1,649.20
  6. Step 6: Final answer
    x = 1,236.69

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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.