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Finding the Fourth Proportional to 727.19, 1,089.90 and 288.03

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Solution

The fourth proportional to 727.19, 1,089.90 and 288.03 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.19 : 1,089.90 = 288.03 : x
  2. Step 2: Convert to fraction form
    727.19/1,089.90 = 288.03/x
  3. Step 3: Cross multiply
    727.19x = 1,089.90 × 288.03
  4. Step 4: Simplify right side
    727.19x = 313,923.90
  5. Step 5: Solve for x
    x = 313,923.90/727.19
  6. Step 6: Final answer
    x = 431.70

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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.