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Finding the Fourth Proportional to 866.15, 1,195.34 and 493.16

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Solution

The fourth proportional to 866.15, 1,195.34 and 493.16 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.15 : 1,195.34 = 493.16 : x
  2. Step 2: Convert to fraction form
    866.15/1,195.34 = 493.16/x
  3. Step 3: Cross multiply
    866.15x = 1,195.34 × 493.16
  4. Step 4: Simplify right side
    866.15x = 589,485.43
  5. Step 5: Solve for x
    x = 589,485.43/866.15
  6. Step 6: Final answer
    x = 680.59

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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.