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Finding the Fourth Proportional to 563.06, 776.50 and 363.64

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Solution

The fourth proportional to 563.06, 776.50 and 363.64 is: 501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 776.50 = 363.64 : x
  2. Step 2: Convert to fraction form
    563.06/776.50 = 363.64/x
  3. Step 3: Cross multiply
    563.06x = 776.50 × 363.64
  4. Step 4: Simplify right side
    563.06x = 282,366.46
  5. Step 5: Solve for x
    x = 282,366.46/563.06
  6. Step 6: Final answer
    x = 501.49

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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.