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Finding the Fourth Proportional to 1,054.47, 1,581.89 and 361.21

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Solution

The fourth proportional to 1,054.47, 1,581.89 and 361.21 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.47 : 1,581.89 = 361.21 : x
  2. Step 2: Convert to fraction form
    1,054.47/1,581.89 = 361.21/x
  3. Step 3: Cross multiply
    1,054.47x = 1,581.89 × 361.21
  4. Step 4: Simplify right side
    1,054.47x = 571,394.49
  5. Step 5: Solve for x
    x = 571,394.49/1,054.47
  6. Step 6: Final answer
    x = 541.88

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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.