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Finding the Fourth Proportional to 829.12, 1,244.55 and 810.53

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Solution

The fourth proportional to 829.12, 1,244.55 and 810.53 is: 1,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,244.55 = 810.53 : x
  2. Step 2: Convert to fraction form
    829.12/1,244.55 = 810.53/x
  3. Step 3: Cross multiply
    829.12x = 1,244.55 × 810.53
  4. Step 4: Simplify right side
    829.12x = 1,008,745.11
  5. Step 5: Solve for x
    x = 1,008,745.11/829.12
  6. Step 6: Final answer
    x = 1,216.65

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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.