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Finding the Fourth Proportional to 1,317.61, 1,975.69 and 822.79

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Solution

The fourth proportional to 1,317.61, 1,975.69 and 822.79 is: 1,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.61 : 1,975.69 = 822.79 : x
  2. Step 2: Convert to fraction form
    1,317.61/1,975.69 = 822.79/x
  3. Step 3: Cross multiply
    1,317.61x = 1,975.69 × 822.79
  4. Step 4: Simplify right side
    1,317.61x = 1,625,577.98
  5. Step 5: Solve for x
    x = 1,625,577.98/1,317.61
  6. Step 6: Final answer
    x = 1,233.73

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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.