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Finding the Fourth Proportional to 839.93, 1,160.50 and 664.25

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Solution

The fourth proportional to 839.93, 1,160.50 and 664.25 is: 917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.93 : 1,160.50 = 664.25 : x
  2. Step 2: Convert to fraction form
    839.93/1,160.50 = 664.25/x
  3. Step 3: Cross multiply
    839.93x = 1,160.50 × 664.25
  4. Step 4: Simplify right side
    839.93x = 770,854.66
  5. Step 5: Solve for x
    x = 770,854.66/839.93
  6. Step 6: Final answer
    x = 917.76

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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.