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Finding the Fourth Proportional to 834.23, 1,249.66 and 504.98

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Solution

The fourth proportional to 834.23, 1,249.66 and 504.98 is: 756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,249.66 = 504.98 : x
  2. Step 2: Convert to fraction form
    834.23/1,249.66 = 504.98/x
  3. Step 3: Cross multiply
    834.23x = 1,249.66 × 504.98
  4. Step 4: Simplify right side
    834.23x = 631,053.31
  5. Step 5: Solve for x
    x = 631,053.31/834.23
  6. Step 6: Final answer
    x = 756.45

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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.