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Finding the Fourth Proportional to 1,343.88, 2,016.78 and 478.20

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Solution

The fourth proportional to 1,343.88, 2,016.78 and 478.20 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.88 : 2,016.78 = 478.20 : x
  2. Step 2: Convert to fraction form
    1,343.88/2,016.78 = 478.20/x
  3. Step 3: Cross multiply
    1,343.88x = 2,016.78 × 478.20
  4. Step 4: Simplify right side
    1,343.88x = 964,424.20
  5. Step 5: Solve for x
    x = 964,424.20/1,343.88
  6. Step 6: Final answer
    x = 717.64

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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.