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Finding the Fourth Proportional to 563.35, 777.37 and 364.19

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Solution

The fourth proportional to 563.35, 777.37 and 364.19 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.35 : 777.37 = 364.19 : x
  2. Step 2: Convert to fraction form
    563.35/777.37 = 364.19/x
  3. Step 3: Cross multiply
    563.35x = 777.37 × 364.19
  4. Step 4: Simplify right side
    563.35x = 283,108.44
  5. Step 5: Solve for x
    x = 283,108.44/563.35
  6. Step 6: Final answer
    x = 502.55

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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.