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Finding the Fourth Proportional to 688.39, 950.06 and 408.67

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Solution

The fourth proportional to 688.39, 950.06 and 408.67 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.39 : 950.06 = 408.67 : x
  2. Step 2: Convert to fraction form
    688.39/950.06 = 408.67/x
  3. Step 3: Cross multiply
    688.39x = 950.06 × 408.67
  4. Step 4: Simplify right side
    688.39x = 388,261.02
  5. Step 5: Solve for x
    x = 388,261.02/688.39
  6. Step 6: Final answer
    x = 564.01

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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.