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Finding the Fourth Proportional to 563.81, 778.95 and 531

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Solution

The fourth proportional to 563.81, 778.95 and 531 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.81 : 778.95 = 531 : x
  2. Step 2: Convert to fraction form
    563.81/778.95 = 531/x
  3. Step 3: Cross multiply
    563.81x = 778.95 × 531
  4. Step 4: Simplify right side
    563.81x = 413,622.45
  5. Step 5: Solve for x
    x = 413,622.45/563.81
  6. Step 6: Final answer
    x = 733.63

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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.