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Finding the Fourth Proportional to 688.54, 950.14 and 408.76

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Solution

The fourth proportional to 688.54, 950.14 and 408.76 is: 564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.54 : 950.14 = 408.76 : x
  2. Step 2: Convert to fraction form
    688.54/950.14 = 408.76/x
  3. Step 3: Cross multiply
    688.54x = 950.14 × 408.76
  4. Step 4: Simplify right side
    688.54x = 388,379.23
  5. Step 5: Solve for x
    x = 388,379.23/688.54
  6. Step 6: Final answer
    x = 564.06

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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.