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Finding the Fourth Proportional to 1,381.52, 2,072.24 and 469.52

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Solution

The fourth proportional to 1,381.52, 2,072.24 and 469.52 is: 704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.52 : 2,072.24 = 469.52 : x
  2. Step 2: Convert to fraction form
    1,381.52/2,072.24 = 469.52/x
  3. Step 3: Cross multiply
    1,381.52x = 2,072.24 × 469.52
  4. Step 4: Simplify right side
    1,381.52x = 972,958.12
  5. Step 5: Solve for x
    x = 972,958.12/1,381.52
  6. Step 6: Final answer
    x = 704.27

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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.