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Finding the Fourth Proportional to 563.61, 777.78 and 314.94

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Solution

The fourth proportional to 563.61, 777.78 and 314.94 is: 434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 777.78 = 314.94 : x
  2. Step 2: Convert to fraction form
    563.61/777.78 = 314.94/x
  3. Step 3: Cross multiply
    563.61x = 777.78 × 314.94
  4. Step 4: Simplify right side
    563.61x = 244,954.03
  5. Step 5: Solve for x
    x = 244,954.03/563.61
  6. Step 6: Final answer
    x = 434.62

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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.