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Finding the Fourth Proportional to 563.00, 777.15 and 397.49

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Solution

The fourth proportional to 563.00, 777.15 and 397.49 is: 548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.00 : 777.15 = 397.49 : x
  2. Step 2: Convert to fraction form
    563.00/777.15 = 397.49/x
  3. Step 3: Cross multiply
    563.00x = 777.15 × 397.49
  4. Step 4: Simplify right side
    563.00x = 308,905.47
  5. Step 5: Solve for x
    x = 308,905.47/563.00
  6. Step 6: Final answer
    x = 548.68

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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.