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Finding the Fourth Proportional to 826.99, 1,132.79 and 816.46

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Solution

The fourth proportional to 826.99, 1,132.79 and 816.46 is: 1,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.99 : 1,132.79 = 816.46 : x
  2. Step 2: Convert to fraction form
    826.99/1,132.79 = 816.46/x
  3. Step 3: Cross multiply
    826.99x = 1,132.79 × 816.46
  4. Step 4: Simplify right side
    826.99x = 924,877.72
  5. Step 5: Solve for x
    x = 924,877.72/826.99
  6. Step 6: Final answer
    x = 1,118.37

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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.