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Finding the Fourth Proportional to 715.85, 1,073.62 and 320.57

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Solution

The fourth proportional to 715.85, 1,073.62 and 320.57 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.85 : 1,073.62 = 320.57 : x
  2. Step 2: Convert to fraction form
    715.85/1,073.62 = 320.57/x
  3. Step 3: Cross multiply
    715.85x = 1,073.62 × 320.57
  4. Step 4: Simplify right side
    715.85x = 344,172.25
  5. Step 5: Solve for x
    x = 344,172.25/715.85
  6. Step 6: Final answer
    x = 480.79

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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.