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Finding the Fourth Proportional to 563.81, 844.16 and 427.46

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Solution

The fourth proportional to 563.81, 844.16 and 427.46 is: 640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.81 : 844.16 = 427.46 : x
  2. Step 2: Convert to fraction form
    563.81/844.16 = 427.46/x
  3. Step 3: Cross multiply
    563.81x = 844.16 × 427.46
  4. Step 4: Simplify right side
    563.81x = 360,838.28
  5. Step 5: Solve for x
    x = 360,838.28/563.81
  6. Step 6: Final answer
    x = 640.01

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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.