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Finding the Fourth Proportional to 563.29, 776.83 and 353.49

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Solution

The fourth proportional to 563.29, 776.83 and 353.49 is: 487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 776.83 = 353.49 : x
  2. Step 2: Convert to fraction form
    563.29/776.83 = 353.49/x
  3. Step 3: Cross multiply
    563.29x = 776.83 × 353.49
  4. Step 4: Simplify right side
    563.29x = 274,597.75
  5. Step 5: Solve for x
    x = 274,597.75/563.29
  6. Step 6: Final answer
    x = 487.49

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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.