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Finding the Fourth Proportional to 834.88, 1,249.18 and 504.64

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Solution

The fourth proportional to 834.88, 1,249.18 and 504.64 is: 755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.88 : 1,249.18 = 504.64 : x
  2. Step 2: Convert to fraction form
    834.88/1,249.18 = 504.64/x
  3. Step 3: Cross multiply
    834.88x = 1,249.18 × 504.64
  4. Step 4: Simplify right side
    834.88x = 630,386.20
  5. Step 5: Solve for x
    x = 630,386.20/834.88
  6. Step 6: Final answer
    x = 755.06

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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.