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Finding the Fourth Proportional to 563.73, 777.18 and 388.77

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Solution

The fourth proportional to 563.73, 777.18 and 388.77 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.73 : 777.18 = 388.77 : x
  2. Step 2: Convert to fraction form
    563.73/777.18 = 388.77/x
  3. Step 3: Cross multiply
    563.73x = 777.18 × 388.77
  4. Step 4: Simplify right side
    563.73x = 302,144.27
  5. Step 5: Solve for x
    x = 302,144.27/563.73
  6. Step 6: Final answer
    x = 535.97

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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.