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Finding the Fourth Proportional to 384.52, 574.17 and 380.60

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Solution

The fourth proportional to 384.52, 574.17 and 380.60 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.52 : 574.17 = 380.60 : x
  2. Step 2: Convert to fraction form
    384.52/574.17 = 380.60/x
  3. Step 3: Cross multiply
    384.52x = 574.17 × 380.60
  4. Step 4: Simplify right side
    384.52x = 218,529.10
  5. Step 5: Solve for x
    x = 218,529.10/384.52
  6. Step 6: Final answer
    x = 568.32

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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.