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Finding the Fourth Proportional to 563.27, 775.17 and 504.95

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Solution

The fourth proportional to 563.27, 775.17 and 504.95 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.27 : 775.17 = 504.95 : x
  2. Step 2: Convert to fraction form
    563.27/775.17 = 504.95/x
  3. Step 3: Cross multiply
    563.27x = 775.17 × 504.95
  4. Step 4: Simplify right side
    563.27x = 391,418.22
  5. Step 5: Solve for x
    x = 391,418.22/563.27
  6. Step 6: Final answer
    x = 694.91

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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.