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Finding the Fourth Proportional to 826.74, 1,140.66 and 764.58

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Solution

The fourth proportional to 826.74, 1,140.66 and 764.58 is: 1,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,140.66 = 764.58 : x
  2. Step 2: Convert to fraction form
    826.74/1,140.66 = 764.58/x
  3. Step 3: Cross multiply
    826.74x = 1,140.66 × 764.58
  4. Step 4: Simplify right side
    826.74x = 872,125.82
  5. Step 5: Solve for x
    x = 872,125.82/826.74
  6. Step 6: Final answer
    x = 1,054.90

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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.