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Finding the Fourth Proportional to 834.81, 1,249.31 and 505.56

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Solution

The fourth proportional to 834.81, 1,249.31 and 505.56 is: 756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.81 : 1,249.31 = 505.56 : x
  2. Step 2: Convert to fraction form
    834.81/1,249.31 = 505.56/x
  3. Step 3: Cross multiply
    834.81x = 1,249.31 × 505.56
  4. Step 4: Simplify right side
    834.81x = 631,602.51
  5. Step 5: Solve for x
    x = 631,602.51/834.81
  6. Step 6: Final answer
    x = 756.58

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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.