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Finding the Fourth Proportional to 909.02, 1,369.61 and 822.45

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Solution

The fourth proportional to 909.02, 1,369.61 and 822.45 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.02 : 1,369.61 = 822.45 : x
  2. Step 2: Convert to fraction form
    909.02/1,369.61 = 822.45/x
  3. Step 3: Cross multiply
    909.02x = 1,369.61 × 822.45
  4. Step 4: Simplify right side
    909.02x = 1,126,439.85
  5. Step 5: Solve for x
    x = 1,126,439.85/909.02
  6. Step 6: Final answer
    x = 1,239.18

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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.