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Finding the Fourth Proportional to 823.42, 1,137.19 and 667.59

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Solution

The fourth proportional to 823.42, 1,137.19 and 667.59 is: 921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.42 : 1,137.19 = 667.59 : x
  2. Step 2: Convert to fraction form
    823.42/1,137.19 = 667.59/x
  3. Step 3: Cross multiply
    823.42x = 1,137.19 × 667.59
  4. Step 4: Simplify right side
    823.42x = 759,178.39
  5. Step 5: Solve for x
    x = 759,178.39/823.42
  6. Step 6: Final answer
    x = 921.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.