Home / 1,338.28-2,007.18-460.78

Finding the Fourth Proportional to 1,338.28, 2,007.18 and 460.78

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Solution

The fourth proportional to 1,338.28, 2,007.18 and 460.78 is: 691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.28 : 2,007.18 = 460.78 : x
  2. Step 2: Convert to fraction form
    1,338.28/2,007.18 = 460.78/x
  3. Step 3: Cross multiply
    1,338.28x = 2,007.18 × 460.78
  4. Step 4: Simplify right side
    1,338.28x = 924,863.38
  5. Step 5: Solve for x
    x = 924,863.38/1,338.28
  6. Step 6: Final answer
    x = 691.08

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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.