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Finding the Fourth Proportional to 909.92, 1,365.36 and 422.84

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Solution

The fourth proportional to 909.92, 1,365.36 and 422.84 is: 634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.92 : 1,365.36 = 422.84 : x
  2. Step 2: Convert to fraction form
    909.92/1,365.36 = 422.84/x
  3. Step 3: Cross multiply
    909.92x = 1,365.36 × 422.84
  4. Step 4: Simplify right side
    909.92x = 577,328.82
  5. Step 5: Solve for x
    x = 577,328.82/909.92
  6. Step 6: Final answer
    x = 634.48

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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.