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Finding the Fourth Proportional to 727.14, 1,003.59 and 465.18

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Solution

The fourth proportional to 727.14, 1,003.59 and 465.18 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,003.59 = 465.18 : x
  2. Step 2: Convert to fraction form
    727.14/1,003.59 = 465.18/x
  3. Step 3: Cross multiply
    727.14x = 1,003.59 × 465.18
  4. Step 4: Simplify right side
    727.14x = 466,850.00
  5. Step 5: Solve for x
    x = 466,850.00/727.14
  6. Step 6: Final answer
    x = 642.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.