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Finding the Fourth Proportional to 1,151.67, 1,727.46 and 285.96

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Solution

The fourth proportional to 1,151.67, 1,727.46 and 285.96 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.67 : 1,727.46 = 285.96 : x
  2. Step 2: Convert to fraction form
    1,151.67/1,727.46 = 285.96/x
  3. Step 3: Cross multiply
    1,151.67x = 1,727.46 × 285.96
  4. Step 4: Simplify right side
    1,151.67x = 493,984.46
  5. Step 5: Solve for x
    x = 493,984.46/1,151.67
  6. Step 6: Final answer
    x = 428.93

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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.