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Finding the Fourth Proportional to 541.78, 816.63 and 495.62

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Solution

The fourth proportional to 541.78, 816.63 and 495.62 is: 747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 816.63 = 495.62 : x
  2. Step 2: Convert to fraction form
    541.78/816.63 = 495.62/x
  3. Step 3: Cross multiply
    541.78x = 816.63 × 495.62
  4. Step 4: Simplify right side
    541.78x = 404,738.16
  5. Step 5: Solve for x
    x = 404,738.16/541.78
  6. Step 6: Final answer
    x = 747.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.