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Finding the Fourth Proportional to 512.10, 705.78 and 380.88

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Solution

The fourth proportional to 512.10, 705.78 and 380.88 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 705.78 = 380.88 : x
  2. Step 2: Convert to fraction form
    512.10/705.78 = 380.88/x
  3. Step 3: Cross multiply
    512.10x = 705.78 × 380.88
  4. Step 4: Simplify right side
    512.10x = 268,817.49
  5. Step 5: Solve for x
    x = 268,817.49/512.10
  6. Step 6: Final answer
    x = 524.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.