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Finding the Fourth Proportional to 776.32, 1,071.39 and 579.49

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Solution

The fourth proportional to 776.32, 1,071.39 and 579.49 is: 799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,071.39 = 579.49 : x
  2. Step 2: Convert to fraction form
    776.32/1,071.39 = 579.49/x
  3. Step 3: Cross multiply
    776.32x = 1,071.39 × 579.49
  4. Step 4: Simplify right side
    776.32x = 620,859.29
  5. Step 5: Solve for x
    x = 620,859.29/776.32
  6. Step 6: Final answer
    x = 799.75

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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.