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Finding the Fourth Proportional to 384, 573.12 and 379.86

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Solution

The fourth proportional to 384, 573.12 and 379.86 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 573.12 = 379.86 : x
  2. Step 2: Convert to fraction form
    384/573.12 = 379.86/x
  3. Step 3: Cross multiply
    384x = 573.12 × 379.86
  4. Step 4: Simplify right side
    384x = 217,705.36
  5. Step 5: Solve for x
    x = 217,705.36/384
  6. Step 6: Final answer
    x = 566.94

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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.