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Finding the Fourth Proportional to 840.97, 1,161.71 and 711.37

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Solution

The fourth proportional to 840.97, 1,161.71 and 711.37 is: 982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,161.71 = 711.37 : x
  2. Step 2: Convert to fraction form
    840.97/1,161.71 = 711.37/x
  3. Step 3: Cross multiply
    840.97x = 1,161.71 × 711.37
  4. Step 4: Simplify right side
    840.97x = 826,405.64
  5. Step 5: Solve for x
    x = 826,405.64/840.97
  6. Step 6: Final answer
    x = 982.68

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Double scale
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1.5x scale

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.