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Finding the Fourth Proportional to 563.37, 776.79 and 405.96

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Solution

The fourth proportional to 563.37, 776.79 and 405.96 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.37 : 776.79 = 405.96 : x
  2. Step 2: Convert to fraction form
    563.37/776.79 = 405.96/x
  3. Step 3: Cross multiply
    563.37x = 776.79 × 405.96
  4. Step 4: Simplify right side
    563.37x = 315,345.67
  5. Step 5: Solve for x
    x = 315,345.67/563.37
  6. Step 6: Final answer
    x = 559.75

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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.