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Finding the Fourth Proportional to 900.12, 1,242.08 and 550.74

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Solution

The fourth proportional to 900.12, 1,242.08 and 550.74 is: 759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.12 : 1,242.08 = 550.74 : x
  2. Step 2: Convert to fraction form
    900.12/1,242.08 = 550.74/x
  3. Step 3: Cross multiply
    900.12x = 1,242.08 × 550.74
  4. Step 4: Simplify right side
    900.12x = 684,063.14
  5. Step 5: Solve for x
    x = 684,063.14/900.12
  6. Step 6: Final answer
    x = 759.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.