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Finding the Fourth Proportional to 563.06, 777.05 and 327.06

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Solution

The fourth proportional to 563.06, 777.05 and 327.06 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 777.05 = 327.06 : x
  2. Step 2: Convert to fraction form
    563.06/777.05 = 327.06/x
  3. Step 3: Cross multiply
    563.06x = 777.05 × 327.06
  4. Step 4: Simplify right side
    563.06x = 254,140.34
  5. Step 5: Solve for x
    x = 254,140.34/563.06
  6. Step 6: Final answer
    x = 451.36

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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.