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Finding the Fourth Proportional to 563.02, 776.79 and 314.30

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Solution

The fourth proportional to 563.02, 776.79 and 314.30 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.02 : 776.79 = 314.30 : x
  2. Step 2: Convert to fraction form
    563.02/776.79 = 314.30/x
  3. Step 3: Cross multiply
    563.02x = 776.79 × 314.30
  4. Step 4: Simplify right side
    563.02x = 244,147.04
  5. Step 5: Solve for x
    x = 244,147.04/563.02
  6. Step 6: Final answer
    x = 433.64

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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.