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Finding the Fourth Proportional to 1,272.72, 1,909.24 and 492.70

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Solution

The fourth proportional to 1,272.72, 1,909.24 and 492.70 is: 739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.72 : 1,909.24 = 492.70 : x
  2. Step 2: Convert to fraction form
    1,272.72/1,909.24 = 492.70/x
  3. Step 3: Cross multiply
    1,272.72x = 1,909.24 × 492.70
  4. Step 4: Simplify right side
    1,272.72x = 940,682.55
  5. Step 5: Solve for x
    x = 940,682.55/1,272.72
  6. Step 6: Final answer
    x = 739.11

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Why These Related Problems?

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