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Finding the Fourth Proportional to 727.45, 1,091.08 and 207.50

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Solution

The fourth proportional to 727.45, 1,091.08 and 207.50 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.45 : 1,091.08 = 207.50 : x
  2. Step 2: Convert to fraction form
    727.45/1,091.08 = 207.50/x
  3. Step 3: Cross multiply
    727.45x = 1,091.08 × 207.50
  4. Step 4: Simplify right side
    727.45x = 226,399.10
  5. Step 5: Solve for x
    x = 226,399.10/727.45
  6. Step 6: Final answer
    x = 311.22

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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.