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Finding the Fourth Proportional to 1,151.42, 1,727.12 and 285.72

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Solution

The fourth proportional to 1,151.42, 1,727.12 and 285.72 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.42 : 1,727.12 = 285.72 : x
  2. Step 2: Convert to fraction form
    1,151.42/1,727.12 = 285.72/x
  3. Step 3: Cross multiply
    1,151.42x = 1,727.12 × 285.72
  4. Step 4: Simplify right side
    1,151.42x = 493,471.30
  5. Step 5: Solve for x
    x = 493,471.30/1,151.42
  6. Step 6: Final answer
    x = 428.58

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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.