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Finding the Fourth Proportional to 823.48, 1,230.67 and 737.82

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Solution

The fourth proportional to 823.48, 1,230.67 and 737.82 is: 1,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.48 : 1,230.67 = 737.82 : x
  2. Step 2: Convert to fraction form
    823.48/1,230.67 = 737.82/x
  3. Step 3: Cross multiply
    823.48x = 1,230.67 × 737.82
  4. Step 4: Simplify right side
    823.48x = 908,012.94
  5. Step 5: Solve for x
    x = 908,012.94/823.48
  6. Step 6: Final answer
    x = 1,102.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.