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Finding the Fourth Proportional to 511.12, 770.89 and 494.70

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Solution

The fourth proportional to 511.12, 770.89 and 494.70 is: 746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 770.89 = 494.70 : x
  2. Step 2: Convert to fraction form
    511.12/770.89 = 494.70/x
  3. Step 3: Cross multiply
    511.12x = 770.89 × 494.70
  4. Step 4: Simplify right side
    511.12x = 381,359.28
  5. Step 5: Solve for x
    x = 381,359.28/511.12
  6. Step 6: Final answer
    x = 746.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.