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Finding the Fourth Proportional to 512.05, 705.90 and 380.83

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Solution

The fourth proportional to 512.05, 705.90 and 380.83 is: 525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.05 : 705.90 = 380.83 : x
  2. Step 2: Convert to fraction form
    512.05/705.90 = 380.83/x
  3. Step 3: Cross multiply
    512.05x = 705.90 × 380.83
  4. Step 4: Simplify right side
    512.05x = 268,827.90
  5. Step 5: Solve for x
    x = 268,827.90/512.05
  6. Step 6: Final answer
    x = 525.00

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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.