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Finding the Fourth Proportional to 1,344.42, 2,016.90 and 478.62

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Solution

The fourth proportional to 1,344.42, 2,016.90 and 478.62 is: 718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.42 : 2,016.90 = 478.62 : x
  2. Step 2: Convert to fraction form
    1,344.42/2,016.90 = 478.62/x
  3. Step 3: Cross multiply
    1,344.42x = 2,016.90 × 478.62
  4. Step 4: Simplify right side
    1,344.42x = 965,328.68
  5. Step 5: Solve for x
    x = 965,328.68/1,344.42
  6. Step 6: Final answer
    x = 718.03

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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.