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Finding the Fourth Proportional to 763.86, 1,143.36 and 580.53

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Solution

The fourth proportional to 763.86, 1,143.36 and 580.53 is: 868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.86 : 1,143.36 = 580.53 : x
  2. Step 2: Convert to fraction form
    763.86/1,143.36 = 580.53/x
  3. Step 3: Cross multiply
    763.86x = 1,143.36 × 580.53
  4. Step 4: Simplify right side
    763.86x = 663,754.78
  5. Step 5: Solve for x
    x = 663,754.78/763.86
  6. Step 6: Final answer
    x = 868.95

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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.