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Finding the Fourth Proportional to 679.80, 938.45 and 511.82

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Solution

The fourth proportional to 679.80, 938.45 and 511.82 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.80 : 938.45 = 511.82 : x
  2. Step 2: Convert to fraction form
    679.80/938.45 = 511.82/x
  3. Step 3: Cross multiply
    679.80x = 938.45 × 511.82
  4. Step 4: Simplify right side
    679.80x = 480,310.23
  5. Step 5: Solve for x
    x = 480,310.23/679.80
  6. Step 6: Final answer
    x = 706.55

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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.