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Finding the Fourth Proportional to 908.17, 1,361.74 and 830.77

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Solution

The fourth proportional to 908.17, 1,361.74 and 830.77 is: 1,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.17 : 1,361.74 = 830.77 : x
  2. Step 2: Convert to fraction form
    908.17/1,361.74 = 830.77/x
  3. Step 3: Cross multiply
    908.17x = 1,361.74 × 830.77
  4. Step 4: Simplify right side
    908.17x = 1,131,292.74
  5. Step 5: Solve for x
    x = 1,131,292.74/908.17
  6. Step 6: Final answer
    x = 1,245.68

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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.