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Finding the Fourth Proportional to 563.28, 777.45 and 363.96

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Solution

The fourth proportional to 563.28, 777.45 and 363.96 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 777.45 = 363.96 : x
  2. Step 2: Convert to fraction form
    563.28/777.45 = 363.96/x
  3. Step 3: Cross multiply
    563.28x = 777.45 × 363.96
  4. Step 4: Simplify right side
    563.28x = 282,960.70
  5. Step 5: Solve for x
    x = 282,960.70/563.28
  6. Step 6: Final answer
    x = 502.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.