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Finding the Fourth Proportional to 909.33, 1,363.80 and 293.09

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Solution

The fourth proportional to 909.33, 1,363.80 and 293.09 is: 439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.33 : 1,363.80 = 293.09 : x
  2. Step 2: Convert to fraction form
    909.33/1,363.80 = 293.09/x
  3. Step 3: Cross multiply
    909.33x = 1,363.80 × 293.09
  4. Step 4: Simplify right side
    909.33x = 399,709.32
  5. Step 5: Solve for x
    x = 399,709.32/909.33
  6. Step 6: Final answer
    x = 439.56

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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.