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Finding the Fourth Proportional to 908.96, 1,361.75 and 761.81

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Solution

The fourth proportional to 908.96, 1,361.75 and 761.81 is: 1,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.96 : 1,361.75 = 761.81 : x
  2. Step 2: Convert to fraction form
    908.96/1,361.75 = 761.81/x
  3. Step 3: Cross multiply
    908.96x = 1,361.75 × 761.81
  4. Step 4: Simplify right side
    908.96x = 1,037,384.15
  5. Step 5: Solve for x
    x = 1,037,384.15/908.96
  6. Step 6: Final answer
    x = 1,141.29

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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.