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Finding the Fourth Proportional to 563.12, 778.17 and 406.26

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Solution

The fourth proportional to 563.12, 778.17 and 406.26 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 778.17 = 406.26 : x
  2. Step 2: Convert to fraction form
    563.12/778.17 = 406.26/x
  3. Step 3: Cross multiply
    563.12x = 778.17 × 406.26
  4. Step 4: Simplify right side
    563.12x = 316,139.34
  5. Step 5: Solve for x
    x = 316,139.34/563.12
  6. Step 6: Final answer
    x = 561.41

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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.