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Finding the Fourth Proportional to 727.23, 1,090.84 and 288.61

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Solution

The fourth proportional to 727.23, 1,090.84 and 288.61 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.23 : 1,090.84 = 288.61 : x
  2. Step 2: Convert to fraction form
    727.23/1,090.84 = 288.61/x
  3. Step 3: Cross multiply
    727.23x = 1,090.84 × 288.61
  4. Step 4: Simplify right side
    727.23x = 314,827.33
  5. Step 5: Solve for x
    x = 314,827.33/727.23
  6. Step 6: Final answer
    x = 432.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.