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Finding the Fourth Proportional to 892.01, 1,230.41 and 642.93

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Solution

The fourth proportional to 892.01, 1,230.41 and 642.93 is: 886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.01 : 1,230.41 = 642.93 : x
  2. Step 2: Convert to fraction form
    892.01/1,230.41 = 642.93/x
  3. Step 3: Cross multiply
    892.01x = 1,230.41 × 642.93
  4. Step 4: Simplify right side
    892.01x = 791,067.50
  5. Step 5: Solve for x
    x = 791,067.50/892.01
  6. Step 6: Final answer
    x = 886.84

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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.