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Finding the Fourth Proportional to 727.65, 1,003.91 and 412.88

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Solution

The fourth proportional to 727.65, 1,003.91 and 412.88 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.65 : 1,003.91 = 412.88 : x
  2. Step 2: Convert to fraction form
    727.65/1,003.91 = 412.88/x
  3. Step 3: Cross multiply
    727.65x = 1,003.91 × 412.88
  4. Step 4: Simplify right side
    727.65x = 414,487.28
  5. Step 5: Solve for x
    x = 414,487.28/727.65
  6. Step 6: Final answer
    x = 569.62

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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.