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Finding the Fourth Proportional to 909.02, 1,369.92 and 822.47

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Solution

The fourth proportional to 909.02, 1,369.92 and 822.47 is: 1,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.02 : 1,369.92 = 822.47 : x
  2. Step 2: Convert to fraction form
    909.02/1,369.92 = 822.47/x
  3. Step 3: Cross multiply
    909.02x = 1,369.92 × 822.47
  4. Step 4: Simplify right side
    909.02x = 1,126,711.25
  5. Step 5: Solve for x
    x = 1,126,711.25/909.02
  6. Step 6: Final answer
    x = 1,239.49

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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.