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Finding the Fourth Proportional to 688.10, 950.91 and 511.32

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Solution

The fourth proportional to 688.10, 950.91 and 511.32 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 950.91 = 511.32 : x
  2. Step 2: Convert to fraction form
    688.10/950.91 = 511.32/x
  3. Step 3: Cross multiply
    688.10x = 950.91 × 511.32
  4. Step 4: Simplify right side
    688.10x = 486,215.60
  5. Step 5: Solve for x
    x = 486,215.60/688.10
  6. Step 6: Final answer
    x = 706.61

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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.