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Finding the Fourth Proportional to 563.62, 844.67 and 238.58

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Solution

The fourth proportional to 563.62, 844.67 and 238.58 is: 357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.62 : 844.67 = 238.58 : x
  2. Step 2: Convert to fraction form
    563.62/844.67 = 238.58/x
  3. Step 3: Cross multiply
    563.62x = 844.67 × 238.58
  4. Step 4: Simplify right side
    563.62x = 201,521.37
  5. Step 5: Solve for x
    x = 201,521.37/563.62
  6. Step 6: Final answer
    x = 357.55

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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.