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Finding the Fourth Proportional to 716.69, 1,073.28 and 350.30

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Solution

The fourth proportional to 716.69, 1,073.28 and 350.30 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.69 : 1,073.28 = 350.30 : x
  2. Step 2: Convert to fraction form
    716.69/1,073.28 = 350.30/x
  3. Step 3: Cross multiply
    716.69x = 1,073.28 × 350.30
  4. Step 4: Simplify right side
    716.69x = 375,969.98
  5. Step 5: Solve for x
    x = 375,969.98/716.69
  6. Step 6: Final answer
    x = 524.59

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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.