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Finding the Fourth Proportional to 763.34, 1,143.42 and 633.03

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Solution

The fourth proportional to 763.34, 1,143.42 and 633.03 is: 948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.34 : 1,143.42 = 633.03 : x
  2. Step 2: Convert to fraction form
    763.34/1,143.42 = 633.03/x
  3. Step 3: Cross multiply
    763.34x = 1,143.42 × 633.03
  4. Step 4: Simplify right side
    763.34x = 723,818.93
  5. Step 5: Solve for x
    x = 723,818.93/763.34
  6. Step 6: Final answer
    x = 948.23

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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.