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Finding the Fourth Proportional to 908.78, 1,359 and 677.82

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Solution

The fourth proportional to 908.78, 1,359 and 677.82 is: 1,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.78 : 1,359 = 677.82 : x
  2. Step 2: Convert to fraction form
    908.78/1,359 = 677.82/x
  3. Step 3: Cross multiply
    908.78x = 1,359 × 677.82
  4. Step 4: Simplify right side
    908.78x = 921,157.38
  5. Step 5: Solve for x
    x = 921,157.38/908.78
  6. Step 6: Final answer
    x = 1,013.62

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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.