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Finding the Fourth Proportional to 629.82, 867.12 and 541.12

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Solution

The fourth proportional to 629.82, 867.12 and 541.12 is: 745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.82 : 867.12 = 541.12 : x
  2. Step 2: Convert to fraction form
    629.82/867.12 = 541.12/x
  3. Step 3: Cross multiply
    629.82x = 867.12 × 541.12
  4. Step 4: Simplify right side
    629.82x = 469,215.97
  5. Step 5: Solve for x
    x = 469,215.97/629.82
  6. Step 6: Final answer
    x = 745.00

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Why These Related Problems?

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