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Finding the Fourth Proportional to 563.29, 776.45 and 397.24

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Solution

The fourth proportional to 563.29, 776.45 and 397.24 is: 547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 776.45 = 397.24 : x
  2. Step 2: Convert to fraction form
    563.29/776.45 = 397.24/x
  3. Step 3: Cross multiply
    563.29x = 776.45 × 397.24
  4. Step 4: Simplify right side
    563.29x = 308,431.13
  5. Step 5: Solve for x
    x = 308,431.13/563.29
  6. Step 6: Final answer
    x = 547.56

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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.