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Finding the Fourth Proportional to 727.06, 1,088.16 and 667.12

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Solution

The fourth proportional to 727.06, 1,088.16 and 667.12 is: 998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.06 : 1,088.16 = 667.12 : x
  2. Step 2: Convert to fraction form
    727.06/1,088.16 = 667.12/x
  3. Step 3: Cross multiply
    727.06x = 1,088.16 × 667.12
  4. Step 4: Simplify right side
    727.06x = 725,933.30
  5. Step 5: Solve for x
    x = 725,933.30/727.06
  6. Step 6: Final answer
    x = 998.45

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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.