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Finding the Fourth Proportional to 1,054.63, 1,581.78 and 361.14

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Solution

The fourth proportional to 1,054.63, 1,581.78 and 361.14 is: 541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.63 : 1,581.78 = 361.14 : x
  2. Step 2: Convert to fraction form
    1,054.63/1,581.78 = 361.14/x
  3. Step 3: Cross multiply
    1,054.63x = 1,581.78 × 361.14
  4. Step 4: Simplify right side
    1,054.63x = 571,240.98
  5. Step 5: Solve for x
    x = 571,240.98/1,054.63
  6. Step 6: Final answer
    x = 541.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.