Home / 1,421.38-2,132.68-772.58

Finding the Fourth Proportional to 1,421.38, 2,132.68 and 772.58

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Solution

The fourth proportional to 1,421.38, 2,132.68 and 772.58 is: 1,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.38 : 2,132.68 = 772.58 : x
  2. Step 2: Convert to fraction form
    1,421.38/2,132.68 = 772.58/x
  3. Step 3: Cross multiply
    1,421.38x = 2,132.68 × 772.58
  4. Step 4: Simplify right side
    1,421.38x = 1,647,665.91
  5. Step 5: Solve for x
    x = 1,647,665.91/1,421.38
  6. Step 6: Final answer
    x = 1,159.20

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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.