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Finding the Fourth Proportional to 657.62, 905.48 and 564.37

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Solution

The fourth proportional to 657.62, 905.48 and 564.37 is: 777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 905.48 = 564.37 : x
  2. Step 2: Convert to fraction form
    657.62/905.48 = 564.37/x
  3. Step 3: Cross multiply
    657.62x = 905.48 × 564.37
  4. Step 4: Simplify right side
    657.62x = 511,022.78
  5. Step 5: Solve for x
    x = 511,022.78/657.62
  6. Step 6: Final answer
    x = 777.08

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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.