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Finding the Fourth Proportional to 765, 1,146.12 and 582.48

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Solution

The fourth proportional to 765, 1,146.12 and 582.48 is: 872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,146.12 = 582.48 : x
  2. Step 2: Convert to fraction form
    765/1,146.12 = 582.48/x
  3. Step 3: Cross multiply
    765x = 1,146.12 × 582.48
  4. Step 4: Simplify right side
    765x = 667,591.98
  5. Step 5: Solve for x
    x = 667,591.98/765
  6. Step 6: Final answer
    x = 872.67

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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.