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Finding the Fourth Proportional to 826.32, 1,140.39 and 678.54

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Solution

The fourth proportional to 826.32, 1,140.39 and 678.54 is: 936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,140.39 = 678.54 : x
  2. Step 2: Convert to fraction form
    826.32/1,140.39 = 678.54/x
  3. Step 3: Cross multiply
    826.32x = 1,140.39 × 678.54
  4. Step 4: Simplify right side
    826.32x = 773,800.23
  5. Step 5: Solve for x
    x = 773,800.23/826.32
  6. Step 6: Final answer
    x = 936.44

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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.