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Finding the Fourth Proportional to 977.82, 1,348.93 and 579.23

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Solution

The fourth proportional to 977.82, 1,348.93 and 579.23 is: 799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.82 : 1,348.93 = 579.23 : x
  2. Step 2: Convert to fraction form
    977.82/1,348.93 = 579.23/x
  3. Step 3: Cross multiply
    977.82x = 1,348.93 × 579.23
  4. Step 4: Simplify right side
    977.82x = 781,340.72
  5. Step 5: Solve for x
    x = 781,340.72/977.82
  6. Step 6: Final answer
    x = 799.06

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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.