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Finding the Fourth Proportional to 1,200.04, 1,797.48 and 1,002.72

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Solution

The fourth proportional to 1,200.04, 1,797.48 and 1,002.72 is: 1,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.04 : 1,797.48 = 1,002.72 : x
  2. Step 2: Convert to fraction form
    1,200.04/1,797.48 = 1,002.72/x
  3. Step 3: Cross multiply
    1,200.04x = 1,797.48 × 1,002.72
  4. Step 4: Simplify right side
    1,200.04x = 1,802,369.15
  5. Step 5: Solve for x
    x = 1,802,369.15/1,200.04
  6. Step 6: Final answer
    x = 1,501.92

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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.