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Finding the Fourth Proportional to 826.22, 1,139.22 and 678.38

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Solution

The fourth proportional to 826.22, 1,139.22 and 678.38 is: 935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.22 : 1,139.22 = 678.38 : x
  2. Step 2: Convert to fraction form
    826.22/1,139.22 = 678.38/x
  3. Step 3: Cross multiply
    826.22x = 1,139.22 × 678.38
  4. Step 4: Simplify right side
    826.22x = 772,824.06
  5. Step 5: Solve for x
    x = 772,824.06/826.22
  6. Step 6: Final answer
    x = 935.37

Related Problems

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Half scale
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Double scale
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1.5x scale

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.