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Finding the Fourth Proportional to 832.29, 1,140.23 and 801.13

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Solution

The fourth proportional to 832.29, 1,140.23 and 801.13 is: 1,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.29 : 1,140.23 = 801.13 : x
  2. Step 2: Convert to fraction form
    832.29/1,140.23 = 801.13/x
  3. Step 3: Cross multiply
    832.29x = 1,140.23 × 801.13
  4. Step 4: Simplify right side
    832.29x = 913,469.88
  5. Step 5: Solve for x
    x = 913,469.88/832.29
  6. Step 6: Final answer
    x = 1,097.54

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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.