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Finding the Fourth Proportional to 762.29, 1,142.97 and 275.17

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Solution

The fourth proportional to 762.29, 1,142.97 and 275.17 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,142.97 = 275.17 : x
  2. Step 2: Convert to fraction form
    762.29/1,142.97 = 275.17/x
  3. Step 3: Cross multiply
    762.29x = 1,142.97 × 275.17
  4. Step 4: Simplify right side
    762.29x = 314,511.05
  5. Step 5: Solve for x
    x = 314,511.05/762.29
  6. Step 6: Final answer
    x = 412.59

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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.