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Finding the Fourth Proportional to 763.43, 1,145.97 and 610.34

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Solution

The fourth proportional to 763.43, 1,145.97 and 610.34 is: 916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.43 : 1,145.97 = 610.34 : x
  2. Step 2: Convert to fraction form
    763.43/1,145.97 = 610.34/x
  3. Step 3: Cross multiply
    763.43x = 1,145.97 × 610.34
  4. Step 4: Simplify right side
    763.43x = 699,425.60
  5. Step 5: Solve for x
    x = 699,425.60/763.43
  6. Step 6: Final answer
    x = 916.17

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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.