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Finding the Fourth Proportional to 727.41, 1,086.68 and 465.31

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Solution

The fourth proportional to 727.41, 1,086.68 and 465.31 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.41 : 1,086.68 = 465.31 : x
  2. Step 2: Convert to fraction form
    727.41/1,086.68 = 465.31/x
  3. Step 3: Cross multiply
    727.41x = 1,086.68 × 465.31
  4. Step 4: Simplify right side
    727.41x = 505,643.07
  5. Step 5: Solve for x
    x = 505,643.07/727.41
  6. Step 6: Final answer
    x = 695.13

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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.