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Finding the Fourth Proportional to 909.83, 1,365.36 and 422.92

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Solution

The fourth proportional to 909.83, 1,365.36 and 422.92 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,365.36 = 422.92 : x
  2. Step 2: Convert to fraction form
    909.83/1,365.36 = 422.92/x
  3. Step 3: Cross multiply
    909.83x = 1,365.36 × 422.92
  4. Step 4: Simplify right side
    909.83x = 577,438.17
  5. Step 5: Solve for x
    x = 577,438.17/909.83
  6. Step 6: Final answer
    x = 634.66

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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.