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Finding the Fourth Proportional to 645.56, 894.62 and 633.25

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Solution

The fourth proportional to 645.56, 894.62 and 633.25 is: 877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 894.62 = 633.25 : x
  2. Step 2: Convert to fraction form
    645.56/894.62 = 633.25/x
  3. Step 3: Cross multiply
    645.56x = 894.62 × 633.25
  4. Step 4: Simplify right side
    645.56x = 566,513.64
  5. Step 5: Solve for x
    x = 566,513.64/645.56
  6. Step 6: Final answer
    x = 877.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.