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Finding the Fourth Proportional to 563.91, 778.22 and 315.22

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Solution

The fourth proportional to 563.91, 778.22 and 315.22 is: 435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 778.22 = 315.22 : x
  2. Step 2: Convert to fraction form
    563.91/778.22 = 315.22/x
  3. Step 3: Cross multiply
    563.91x = 778.22 × 315.22
  4. Step 4: Simplify right side
    563.91x = 245,308.93
  5. Step 5: Solve for x
    x = 245,308.93/563.91
  6. Step 6: Final answer
    x = 435.02

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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.