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Finding the Fourth Proportional to 563.12, 777.44 and 364.05

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Solution

The fourth proportional to 563.12, 777.44 and 364.05 is: 502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 777.44 = 364.05 : x
  2. Step 2: Convert to fraction form
    563.12/777.44 = 364.05/x
  3. Step 3: Cross multiply
    563.12x = 777.44 × 364.05
  4. Step 4: Simplify right side
    563.12x = 283,027.94
  5. Step 5: Solve for x
    x = 283,027.94/563.12
  6. Step 6: Final answer
    x = 502.61

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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.