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Finding the Fourth Proportional to 827.42, 1,142.81 and 659.93

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Solution

The fourth proportional to 827.42, 1,142.81 and 659.93 is: 911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,142.81 = 659.93 : x
  2. Step 2: Convert to fraction form
    827.42/1,142.81 = 659.93/x
  3. Step 3: Cross multiply
    827.42x = 1,142.81 × 659.93
  4. Step 4: Simplify right side
    827.42x = 754,174.60
  5. Step 5: Solve for x
    x = 754,174.60/827.42
  6. Step 6: Final answer
    x = 911.48

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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.