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Finding the Fourth Proportional to 564.48, 777.33 and 481.56

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Solution

The fourth proportional to 564.48, 777.33 and 481.56 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 777.33 = 481.56 : x
  2. Step 2: Convert to fraction form
    564.48/777.33 = 481.56/x
  3. Step 3: Cross multiply
    564.48x = 777.33 × 481.56
  4. Step 4: Simplify right side
    564.48x = 374,331.03
  5. Step 5: Solve for x
    x = 374,331.03/564.48
  6. Step 6: Final answer
    x = 663.14

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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.