Home / 1,464.20-2,020.38-834.76

Finding the Fourth Proportional to 1,464.20, 2,020.38 and 834.76

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Solution

The fourth proportional to 1,464.20, 2,020.38 and 834.76 is: 1,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.20 : 2,020.38 = 834.76 : x
  2. Step 2: Convert to fraction form
    1,464.20/2,020.38 = 834.76/x
  3. Step 3: Cross multiply
    1,464.20x = 2,020.38 × 834.76
  4. Step 4: Simplify right side
    1,464.20x = 1,686,531.80
  5. Step 5: Solve for x
    x = 1,686,531.80/1,464.20
  6. Step 6: Final answer
    x = 1,151.84

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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.