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Finding the Fourth Proportional to 868.02, 1,198.04 and 657.83

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Solution

The fourth proportional to 868.02, 1,198.04 and 657.83 is: 907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.02 : 1,198.04 = 657.83 : x
  2. Step 2: Convert to fraction form
    868.02/1,198.04 = 657.83/x
  3. Step 3: Cross multiply
    868.02x = 1,198.04 × 657.83
  4. Step 4: Simplify right side
    868.02x = 788,110.60
  5. Step 5: Solve for x
    x = 788,110.60/868.02
  6. Step 6: Final answer
    x = 907.94

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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.