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Finding the Fourth Proportional to 826.61, 1,140.50 and 511.73

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Solution

The fourth proportional to 826.61, 1,140.50 and 511.73 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.50 = 511.73 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.50 = 511.73/x
  3. Step 3: Cross multiply
    826.61x = 1,140.50 × 511.73
  4. Step 4: Simplify right side
    826.61x = 583,619.80
  5. Step 5: Solve for x
    x = 583,619.80/826.61
  6. Step 6: Final answer
    x = 706.04

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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.