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Finding the Fourth Proportional to 563.70, 778.34 and 513.89

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Solution

The fourth proportional to 563.70, 778.34 and 513.89 is: 709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 778.34 = 513.89 : x
  2. Step 2: Convert to fraction form
    563.70/778.34 = 513.89/x
  3. Step 3: Cross multiply
    563.70x = 778.34 × 513.89
  4. Step 4: Simplify right side
    563.70x = 399,974.68
  5. Step 5: Solve for x
    x = 399,974.68/563.70
  6. Step 6: Final answer
    x = 709.55

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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.