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Finding the Fourth Proportional to 563.20, 777.27 and 342.17

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Solution

The fourth proportional to 563.20, 777.27 and 342.17 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 777.27 = 342.17 : x
  2. Step 2: Convert to fraction form
    563.20/777.27 = 342.17/x
  3. Step 3: Cross multiply
    563.20x = 777.27 × 342.17
  4. Step 4: Simplify right side
    563.20x = 265,954.59
  5. Step 5: Solve for x
    x = 265,954.59/563.20
  6. Step 6: Final answer
    x = 472.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.