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Finding the Fourth Proportional to 727.37, 1,091.48 and 288.66

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Solution

The fourth proportional to 727.37, 1,091.48 and 288.66 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.37 : 1,091.48 = 288.66 : x
  2. Step 2: Convert to fraction form
    727.37/1,091.48 = 288.66/x
  3. Step 3: Cross multiply
    727.37x = 1,091.48 × 288.66
  4. Step 4: Simplify right side
    727.37x = 315,071.43
  5. Step 5: Solve for x
    x = 315,071.43/727.37
  6. Step 6: Final answer
    x = 433.17

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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.