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Finding the Fourth Proportional to 563.77, 778.24 and 342.80

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Solution

The fourth proportional to 563.77, 778.24 and 342.80 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.77 : 778.24 = 342.80 : x
  2. Step 2: Convert to fraction form
    563.77/778.24 = 342.80/x
  3. Step 3: Cross multiply
    563.77x = 778.24 × 342.80
  4. Step 4: Simplify right side
    563.77x = 266,780.13
  5. Step 5: Solve for x
    x = 266,780.13/563.77
  6. Step 6: Final answer
    x = 473.21

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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.