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Finding the Fourth Proportional to 840.77, 1,161 and 813.23

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Solution

The fourth proportional to 840.77, 1,161 and 813.23 is: 1,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.77 : 1,161 = 813.23 : x
  2. Step 2: Convert to fraction form
    840.77/1,161 = 813.23/x
  3. Step 3: Cross multiply
    840.77x = 1,161 × 813.23
  4. Step 4: Simplify right side
    840.77x = 944,160.03
  5. Step 5: Solve for x
    x = 944,160.03/840.77
  6. Step 6: Final answer
    x = 1,122.97

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.