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Finding the Fourth Proportional to 511.87, 705.55 and 354.73

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Solution

The fourth proportional to 511.87, 705.55 and 354.73 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 705.55 = 354.73 : x
  2. Step 2: Convert to fraction form
    511.87/705.55 = 354.73/x
  3. Step 3: Cross multiply
    511.87x = 705.55 × 354.73
  4. Step 4: Simplify right side
    511.87x = 250,274.45
  5. Step 5: Solve for x
    x = 250,274.45/511.87
  6. Step 6: Final answer
    x = 488.95

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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.