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Finding the Fourth Proportional to 698.01, 959.20 and 581.37

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Solution

The fourth proportional to 698.01, 959.20 and 581.37 is: 798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.01 : 959.20 = 581.37 : x
  2. Step 2: Convert to fraction form
    698.01/959.20 = 581.37/x
  3. Step 3: Cross multiply
    698.01x = 959.20 × 581.37
  4. Step 4: Simplify right side
    698.01x = 557,650.10
  5. Step 5: Solve for x
    x = 557,650.10/698.01
  6. Step 6: Final answer
    x = 798.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.