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Finding the Fourth Proportional to 763, 1,143.30 and 531.40

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Solution

The fourth proportional to 763, 1,143.30 and 531.40 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,143.30 = 531.40 : x
  2. Step 2: Convert to fraction form
    763/1,143.30 = 531.40/x
  3. Step 3: Cross multiply
    763x = 1,143.30 × 531.40
  4. Step 4: Simplify right side
    763x = 607,549.62
  5. Step 5: Solve for x
    x = 607,549.62/763
  6. Step 6: Final answer
    x = 796.26

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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.