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Finding the Fourth Proportional to 863.67, 1,192.14 and 642.93

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Solution

The fourth proportional to 863.67, 1,192.14 and 642.93 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.67 : 1,192.14 = 642.93 : x
  2. Step 2: Convert to fraction form
    863.67/1,192.14 = 642.93/x
  3. Step 3: Cross multiply
    863.67x = 1,192.14 × 642.93
  4. Step 4: Simplify right side
    863.67x = 766,462.57
  5. Step 5: Solve for x
    x = 766,462.57/863.67
  6. Step 6: Final answer
    x = 887.45

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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.