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Finding the Fourth Proportional to 715.50, 1,073.67 and 330.78

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Solution

The fourth proportional to 715.50, 1,073.67 and 330.78 is: 496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.50 : 1,073.67 = 330.78 : x
  2. Step 2: Convert to fraction form
    715.50/1,073.67 = 330.78/x
  3. Step 3: Cross multiply
    715.50x = 1,073.67 × 330.78
  4. Step 4: Simplify right side
    715.50x = 355,148.56
  5. Step 5: Solve for x
    x = 355,148.56/715.50
  6. Step 6: Final answer
    x = 496.36

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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.