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Finding the Fourth Proportional to 563.98, 775.70 and 453.22

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Solution

The fourth proportional to 563.98, 775.70 and 453.22 is: 623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 775.70 = 453.22 : x
  2. Step 2: Convert to fraction form
    563.98/775.70 = 453.22/x
  3. Step 3: Cross multiply
    563.98x = 775.70 × 453.22
  4. Step 4: Simplify right side
    563.98x = 351,562.75
  5. Step 5: Solve for x
    x = 351,562.75/563.98
  6. Step 6: Final answer
    x = 623.36

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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.