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Finding the Fourth Proportional to 1,151.64, 1,727.12 and 421.27

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Solution

The fourth proportional to 1,151.64, 1,727.12 and 421.27 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,727.12 = 421.27 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,727.12 = 421.27/x
  3. Step 3: Cross multiply
    1,151.64x = 1,727.12 × 421.27
  4. Step 4: Simplify right side
    1,151.64x = 727,581.74
  5. Step 5: Solve for x
    x = 727,581.74/1,151.64
  6. Step 6: Final answer
    x = 631.78

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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.