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Finding the Fourth Proportional to 826.23, 1,232.38 and 703.11

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Solution

The fourth proportional to 826.23, 1,232.38 and 703.11 is: 1,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.23 : 1,232.38 = 703.11 : x
  2. Step 2: Convert to fraction form
    826.23/1,232.38 = 703.11/x
  3. Step 3: Cross multiply
    826.23x = 1,232.38 × 703.11
  4. Step 4: Simplify right side
    826.23x = 866,498.70
  5. Step 5: Solve for x
    x = 866,498.70/826.23
  6. Step 6: Final answer
    x = 1,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.