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Finding the Fourth Proportional to 688.10, 950.37 and 511.70

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Solution

The fourth proportional to 688.10, 950.37 and 511.70 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 950.37 = 511.70 : x
  2. Step 2: Convert to fraction form
    688.10/950.37 = 511.70/x
  3. Step 3: Cross multiply
    688.10x = 950.37 × 511.70
  4. Step 4: Simplify right side
    688.10x = 486,304.33
  5. Step 5: Solve for x
    x = 486,304.33/688.10
  6. Step 6: Final answer
    x = 706.73

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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.