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Finding the Fourth Proportional to 563.49, 777.20 and 395.69

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Solution

The fourth proportional to 563.49, 777.20 and 395.69 is: 545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 777.20 = 395.69 : x
  2. Step 2: Convert to fraction form
    563.49/777.20 = 395.69/x
  3. Step 3: Cross multiply
    563.49x = 777.20 × 395.69
  4. Step 4: Simplify right side
    563.49x = 307,524.40
  5. Step 5: Solve for x
    x = 307,524.40/563.49
  6. Step 6: Final answer
    x = 545.75

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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.