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Finding the Fourth Proportional to 662.33, 913.78 and 563.09

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Solution

The fourth proportional to 662.33, 913.78 and 563.09 is: 776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.33 : 913.78 = 563.09 : x
  2. Step 2: Convert to fraction form
    662.33/913.78 = 563.09/x
  3. Step 3: Cross multiply
    662.33x = 913.78 × 563.09
  4. Step 4: Simplify right side
    662.33x = 514,534.40
  5. Step 5: Solve for x
    x = 514,534.40/662.33
  6. Step 6: Final answer
    x = 776.86

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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.