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Finding the Fourth Proportional to 1,152.97, 1,727.97 and 421.68

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Solution

The fourth proportional to 1,152.97, 1,727.97 and 421.68 is: 631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.97 : 1,727.97 = 421.68 : x
  2. Step 2: Convert to fraction form
    1,152.97/1,727.97 = 421.68/x
  3. Step 3: Cross multiply
    1,152.97x = 1,727.97 × 421.68
  4. Step 4: Simplify right side
    1,152.97x = 728,641.75
  5. Step 5: Solve for x
    x = 728,641.75/1,152.97
  6. Step 6: Final answer
    x = 631.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.