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Finding the Fourth Proportional to 709.72, 1,063.65 and 344.01

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Solution

The fourth proportional to 709.72, 1,063.65 and 344.01 is: 515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,063.65 = 344.01 : x
  2. Step 2: Convert to fraction form
    709.72/1,063.65 = 344.01/x
  3. Step 3: Cross multiply
    709.72x = 1,063.65 × 344.01
  4. Step 4: Simplify right side
    709.72x = 365,906.24
  5. Step 5: Solve for x
    x = 365,906.24/709.72
  6. Step 6: Final answer
    x = 515.56

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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.