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Finding the Fourth Proportional to 1,033.08, 1,548.51 and 383.46

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Solution

The fourth proportional to 1,033.08, 1,548.51 and 383.46 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.08 : 1,548.51 = 383.46 : x
  2. Step 2: Convert to fraction form
    1,033.08/1,548.51 = 383.46/x
  3. Step 3: Cross multiply
    1,033.08x = 1,548.51 × 383.46
  4. Step 4: Simplify right side
    1,033.08x = 593,791.64
  5. Step 5: Solve for x
    x = 593,791.64/1,033.08
  6. Step 6: Final answer
    x = 574.78

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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.