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Finding the Fourth Proportional to 563.27, 778.26 and 405.59

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Solution

The fourth proportional to 563.27, 778.26 and 405.59 is: 560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.27 : 778.26 = 405.59 : x
  2. Step 2: Convert to fraction form
    563.27/778.26 = 405.59/x
  3. Step 3: Cross multiply
    563.27x = 778.26 × 405.59
  4. Step 4: Simplify right side
    563.27x = 315,652.53
  5. Step 5: Solve for x
    x = 315,652.53/563.27
  6. Step 6: Final answer
    x = 560.40

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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.