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Finding the Fourth Proportional to 763.14, 1,143.91 and 330.50

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Solution

The fourth proportional to 763.14, 1,143.91 and 330.50 is: 495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.14 : 1,143.91 = 330.50 : x
  2. Step 2: Convert to fraction form
    763.14/1,143.91 = 330.50/x
  3. Step 3: Cross multiply
    763.14x = 1,143.91 × 330.50
  4. Step 4: Simplify right side
    763.14x = 378,062.26
  5. Step 5: Solve for x
    x = 378,062.26/763.14
  6. Step 6: Final answer
    x = 495.40

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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.