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Finding the Fourth Proportional to 563.49, 844.61 and 401.49

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Solution

The fourth proportional to 563.49, 844.61 and 401.49 is: 601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 844.61 = 401.49 : x
  2. Step 2: Convert to fraction form
    563.49/844.61 = 401.49/x
  3. Step 3: Cross multiply
    563.49x = 844.61 × 401.49
  4. Step 4: Simplify right side
    563.49x = 339,100.46
  5. Step 5: Solve for x
    x = 339,100.46/563.49
  6. Step 6: Final answer
    x = 601.79

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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.