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Finding the Fourth Proportional to 863.84, 1,190.40 and 732.64

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Solution

The fourth proportional to 863.84, 1,190.40 and 732.64 is: 1,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,190.40 = 732.64 : x
  2. Step 2: Convert to fraction form
    863.84/1,190.40 = 732.64/x
  3. Step 3: Cross multiply
    863.84x = 1,190.40 × 732.64
  4. Step 4: Simplify right side
    863.84x = 872,134.66
  5. Step 5: Solve for x
    x = 872,134.66/863.84
  6. Step 6: Final answer
    x = 1,009.60

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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.