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Finding the Fourth Proportional to 1,519.62, 2,278.58 and 479.43

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Solution

The fourth proportional to 1,519.62, 2,278.58 and 479.43 is: 718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.62 : 2,278.58 = 479.43 : x
  2. Step 2: Convert to fraction form
    1,519.62/2,278.58 = 479.43/x
  3. Step 3: Cross multiply
    1,519.62x = 2,278.58 × 479.43
  4. Step 4: Simplify right side
    1,519.62x = 1,092,423.11
  5. Step 5: Solve for x
    x = 1,092,423.11/1,519.62
  6. Step 6: Final answer
    x = 718.88

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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.