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Finding the Fourth Proportional to 727.22, 1,089 and 402.86

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Solution

The fourth proportional to 727.22, 1,089 and 402.86 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,089 = 402.86 : x
  2. Step 2: Convert to fraction form
    727.22/1,089 = 402.86/x
  3. Step 3: Cross multiply
    727.22x = 1,089 × 402.86
  4. Step 4: Simplify right side
    727.22x = 438,714.54
  5. Step 5: Solve for x
    x = 438,714.54/727.22
  6. Step 6: Final answer
    x = 603.28

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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.