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Finding the Fourth Proportional to 387.84, 576.92 and 383.92

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Solution

The fourth proportional to 387.84, 576.92 and 383.92 is: 571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 576.92 = 383.92 : x
  2. Step 2: Convert to fraction form
    387.84/576.92 = 383.92/x
  3. Step 3: Cross multiply
    387.84x = 576.92 × 383.92
  4. Step 4: Simplify right side
    387.84x = 221,491.13
  5. Step 5: Solve for x
    x = 221,491.13/387.84
  6. Step 6: Final answer
    x = 571.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.