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Finding the Fourth Proportional to 826.11, 1,140.26 and 511.43

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Solution

The fourth proportional to 826.11, 1,140.26 and 511.43 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,140.26 = 511.43 : x
  2. Step 2: Convert to fraction form
    826.11/1,140.26 = 511.43/x
  3. Step 3: Cross multiply
    826.11x = 1,140.26 × 511.43
  4. Step 4: Simplify right side
    826.11x = 583,154.91
  5. Step 5: Solve for x
    x = 583,154.91/826.11
  6. Step 6: Final answer
    x = 705.90

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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.