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Finding the Fourth Proportional to 827.16, 1,142.40 and 642.86

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Solution

The fourth proportional to 827.16, 1,142.40 and 642.86 is: 887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.16 : 1,142.40 = 642.86 : x
  2. Step 2: Convert to fraction form
    827.16/1,142.40 = 642.86/x
  3. Step 3: Cross multiply
    827.16x = 1,142.40 × 642.86
  4. Step 4: Simplify right side
    827.16x = 734,403.26
  5. Step 5: Solve for x
    x = 734,403.26/827.16
  6. Step 6: Final answer
    x = 887.86

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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.