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Finding the Fourth Proportional to 843.36, 1,156.39 and 760.13

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Solution

The fourth proportional to 843.36, 1,156.39 and 760.13 is: 1,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.36 : 1,156.39 = 760.13 : x
  2. Step 2: Convert to fraction form
    843.36/1,156.39 = 760.13/x
  3. Step 3: Cross multiply
    843.36x = 1,156.39 × 760.13
  4. Step 4: Simplify right side
    843.36x = 879,006.73
  5. Step 5: Solve for x
    x = 879,006.73/843.36
  6. Step 6: Final answer
    x = 1,042.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.