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Finding the Fourth Proportional to 563.05, 776.97 and 314.39

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Solution

The fourth proportional to 563.05, 776.97 and 314.39 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 776.97 = 314.39 : x
  2. Step 2: Convert to fraction form
    563.05/776.97 = 314.39/x
  3. Step 3: Cross multiply
    563.05x = 776.97 × 314.39
  4. Step 4: Simplify right side
    563.05x = 244,267.71
  5. Step 5: Solve for x
    x = 244,267.71/563.05
  6. Step 6: Final answer
    x = 433.83

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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.