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Finding the Fourth Proportional to 908.34, 1,369.12 and 826.32

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Solution

The fourth proportional to 908.34, 1,369.12 and 826.32 is: 1,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.34 : 1,369.12 = 826.32 : x
  2. Step 2: Convert to fraction form
    908.34/1,369.12 = 826.32/x
  3. Step 3: Cross multiply
    908.34x = 1,369.12 × 826.32
  4. Step 4: Simplify right side
    908.34x = 1,131,331.24
  5. Step 5: Solve for x
    x = 1,131,331.24/908.34
  6. Step 6: Final answer
    x = 1,245.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.