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Finding the Fourth Proportional to 909.84, 1,359.24 and 727.68

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Solution

The fourth proportional to 909.84, 1,359.24 and 727.68 is: 1,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.84 : 1,359.24 = 727.68 : x
  2. Step 2: Convert to fraction form
    909.84/1,359.24 = 727.68/x
  3. Step 3: Cross multiply
    909.84x = 1,359.24 × 727.68
  4. Step 4: Simplify right side
    909.84x = 989,091.76
  5. Step 5: Solve for x
    x = 989,091.76/909.84
  6. Step 6: Final answer
    x = 1,087.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.