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Finding the Fourth Proportional to 657.95, 911.89 and 645.65

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Solution

The fourth proportional to 657.95, 911.89 and 645.65 is: 894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 911.89 = 645.65 : x
  2. Step 2: Convert to fraction form
    657.95/911.89 = 645.65/x
  3. Step 3: Cross multiply
    657.95x = 911.89 × 645.65
  4. Step 4: Simplify right side
    657.95x = 588,755.60
  5. Step 5: Solve for x
    x = 588,755.60/657.95
  6. Step 6: Final answer
    x = 894.84

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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.