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Finding the Fourth Proportional to 715.32, 1,072.02 and 329.88

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Solution

The fourth proportional to 715.32, 1,072.02 and 329.88 is: 494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.32 : 1,072.02 = 329.88 : x
  2. Step 2: Convert to fraction form
    715.32/1,072.02 = 329.88/x
  3. Step 3: Cross multiply
    715.32x = 1,072.02 × 329.88
  4. Step 4: Simplify right side
    715.32x = 353,637.96
  5. Step 5: Solve for x
    x = 353,637.96/715.32
  6. Step 6: Final answer
    x = 494.38

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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.