Home / 1,464.21-2,020.86-834.84

Finding the Fourth Proportional to 1,464.21, 2,020.86 and 834.84

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Solution

The fourth proportional to 1,464.21, 2,020.86 and 834.84 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.21 : 2,020.86 = 834.84 : x
  2. Step 2: Convert to fraction form
    1,464.21/2,020.86 = 834.84/x
  3. Step 3: Cross multiply
    1,464.21x = 2,020.86 × 834.84
  4. Step 4: Simplify right side
    1,464.21x = 1,687,094.76
  5. Step 5: Solve for x
    x = 1,687,094.76/1,464.21
  6. Step 6: Final answer
    x = 1,152.22

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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.