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Finding the Fourth Proportional to 715.57, 1,073.32 and 325.49

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Solution

The fourth proportional to 715.57, 1,073.32 and 325.49 is: 488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.57 : 1,073.32 = 325.49 : x
  2. Step 2: Convert to fraction form
    715.57/1,073.32 = 325.49/x
  3. Step 3: Cross multiply
    715.57x = 1,073.32 × 325.49
  4. Step 4: Simplify right side
    715.57x = 349,348.75
  5. Step 5: Solve for x
    x = 349,348.75/715.57
  6. Step 6: Final answer
    x = 488.21

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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.