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Finding the Fourth Proportional to 541.49, 810.37 and 376.18

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Solution

The fourth proportional to 541.49, 810.37 and 376.18 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 810.37 = 376.18 : x
  2. Step 2: Convert to fraction form
    541.49/810.37 = 376.18/x
  3. Step 3: Cross multiply
    541.49x = 810.37 × 376.18
  4. Step 4: Simplify right side
    541.49x = 304,843.43
  5. Step 5: Solve for x
    x = 304,843.43/541.49
  6. Step 6: Final answer
    x = 562.98

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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.