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Finding the Fourth Proportional to 1,074.72, 1,612.40 and 344.40

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Solution

The fourth proportional to 1,074.72, 1,612.40 and 344.40 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.72 : 1,612.40 = 344.40 : x
  2. Step 2: Convert to fraction form
    1,074.72/1,612.40 = 344.40/x
  3. Step 3: Cross multiply
    1,074.72x = 1,612.40 × 344.40
  4. Step 4: Simplify right side
    1,074.72x = 555,310.56
  5. Step 5: Solve for x
    x = 555,310.56/1,074.72
  6. Step 6: Final answer
    x = 516.70

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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.