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Finding the Fourth Proportional to 909.15, 1,369.79 and 822.59

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Solution

The fourth proportional to 909.15, 1,369.79 and 822.59 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.15 : 1,369.79 = 822.59 : x
  2. Step 2: Convert to fraction form
    909.15/1,369.79 = 822.59/x
  3. Step 3: Cross multiply
    909.15x = 1,369.79 × 822.59
  4. Step 4: Simplify right side
    909.15x = 1,126,775.56
  5. Step 5: Solve for x
    x = 1,126,775.56/909.15
  6. Step 6: Final answer
    x = 1,239.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.