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Finding the Fourth Proportional to 1,151.50, 1,727.25 and 382

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Solution

The fourth proportional to 1,151.50, 1,727.25 and 382 is: 573

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.50 : 1,727.25 = 382 : x
  2. Step 2: Convert to fraction form
    1,151.50/1,727.25 = 382/x
  3. Step 3: Cross multiply
    1,151.50x = 1,727.25 × 382
  4. Step 4: Simplify right side
    1,151.50x = 659,809.50
  5. Step 5: Solve for x
    x = 659,809.50/1,151.50
  6. Step 6: Final answer
    x = 573

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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.