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Finding the Fourth Proportional to 563.80, 845.79 and 499.42

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Solution

The fourth proportional to 563.80, 845.79 and 499.42 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 845.79 = 499.42 : x
  2. Step 2: Convert to fraction form
    563.80/845.79 = 499.42/x
  3. Step 3: Cross multiply
    563.80x = 845.79 × 499.42
  4. Step 4: Simplify right side
    563.80x = 422,404.44
  5. Step 5: Solve for x
    x = 422,404.44/563.80
  6. Step 6: Final answer
    x = 749.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.