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Finding the Fourth Proportional to 908.73, 1,254.01 and 577.34

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Solution

The fourth proportional to 908.73, 1,254.01 and 577.34 is: 796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,254.01 = 577.34 : x
  2. Step 2: Convert to fraction form
    908.73/1,254.01 = 577.34/x
  3. Step 3: Cross multiply
    908.73x = 1,254.01 × 577.34
  4. Step 4: Simplify right side
    908.73x = 723,990.13
  5. Step 5: Solve for x
    x = 723,990.13/908.73
  6. Step 6: Final answer
    x = 796.71

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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.