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Finding the Fourth Proportional to 1,151.51, 1,727.22 and 285.80

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Solution

The fourth proportional to 1,151.51, 1,727.22 and 285.80 is: 428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.51 : 1,727.22 = 285.80 : x
  2. Step 2: Convert to fraction form
    1,151.51/1,727.22 = 285.80/x
  3. Step 3: Cross multiply
    1,151.51x = 1,727.22 × 285.80
  4. Step 4: Simplify right side
    1,151.51x = 493,639.48
  5. Step 5: Solve for x
    x = 493,639.48/1,151.51
  6. Step 6: Final answer
    x = 428.69

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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.