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Finding the Fourth Proportional to 709.50, 1,064.40 and 324.78

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Solution

The fourth proportional to 709.50, 1,064.40 and 324.78 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,064.40 = 324.78 : x
  2. Step 2: Convert to fraction form
    709.50/1,064.40 = 324.78/x
  3. Step 3: Cross multiply
    709.50x = 1,064.40 × 324.78
  4. Step 4: Simplify right side
    709.50x = 345,695.83
  5. Step 5: Solve for x
    x = 345,695.83/709.50
  6. Step 6: Final answer
    x = 487.24

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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.