Home / 1,464.19-2,020.35-834.72

Finding the Fourth Proportional to 1,464.19, 2,020.35 and 834.72

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Solution

The fourth proportional to 1,464.19, 2,020.35 and 834.72 is: 1,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.19 : 2,020.35 = 834.72 : x
  2. Step 2: Convert to fraction form
    1,464.19/2,020.35 = 834.72/x
  3. Step 3: Cross multiply
    1,464.19x = 2,020.35 × 834.72
  4. Step 4: Simplify right side
    1,464.19x = 1,686,431.12
  5. Step 5: Solve for x
    x = 1,686,431.12/1,464.19
  6. Step 6: Final answer
    x = 1,151.78

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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.