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Finding the Fourth Proportional to 563.82, 773.93 and 500.25

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Solution

The fourth proportional to 563.82, 773.93 and 500.25 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 773.93 = 500.25 : x
  2. Step 2: Convert to fraction form
    563.82/773.93 = 500.25/x
  3. Step 3: Cross multiply
    563.82x = 773.93 × 500.25
  4. Step 4: Simplify right side
    563.82x = 387,162.64
  5. Step 5: Solve for x
    x = 387,162.64/563.82
  6. Step 6: Final answer
    x = 686.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.