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Finding the Fourth Proportional to 826.70, 1,139.51 and 760.47

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Solution

The fourth proportional to 826.70, 1,139.51 and 760.47 is: 1,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.70 : 1,139.51 = 760.47 : x
  2. Step 2: Convert to fraction form
    826.70/1,139.51 = 760.47/x
  3. Step 3: Cross multiply
    826.70x = 1,139.51 × 760.47
  4. Step 4: Simplify right side
    826.70x = 866,559.37
  5. Step 5: Solve for x
    x = 866,559.37/826.70
  6. Step 6: Final answer
    x = 1,048.22

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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.