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Finding the Fourth Proportional to 727.16, 1,086.31 and 465.06

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Solution

The fourth proportional to 727.16, 1,086.31 and 465.06 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.16 : 1,086.31 = 465.06 : x
  2. Step 2: Convert to fraction form
    727.16/1,086.31 = 465.06/x
  3. Step 3: Cross multiply
    727.16x = 1,086.31 × 465.06
  4. Step 4: Simplify right side
    727.16x = 505,198.17
  5. Step 5: Solve for x
    x = 505,198.17/727.16
  6. Step 6: Final answer
    x = 694.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.