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Finding the Fourth Proportional to 563.24, 776.70 and 397.59

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Solution

The fourth proportional to 563.24, 776.70 and 397.59 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 776.70 = 397.59 : x
  2. Step 2: Convert to fraction form
    563.24/776.70 = 397.59/x
  3. Step 3: Cross multiply
    563.24x = 776.70 × 397.59
  4. Step 4: Simplify right side
    563.24x = 308,808.15
  5. Step 5: Solve for x
    x = 308,808.15/563.24
  6. Step 6: Final answer
    x = 548.28

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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.