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Finding the Fourth Proportional to 563.88, 778.12 and 311.81

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Solution

The fourth proportional to 563.88, 778.12 and 311.81 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 778.12 = 311.81 : x
  2. Step 2: Convert to fraction form
    563.88/778.12 = 311.81/x
  3. Step 3: Cross multiply
    563.88x = 778.12 × 311.81
  4. Step 4: Simplify right side
    563.88x = 242,620.15
  5. Step 5: Solve for x
    x = 242,620.15/563.88
  6. Step 6: Final answer
    x = 430.27

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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.