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Finding the Fourth Proportional to 688.96, 950.59 and 409.26

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Solution

The fourth proportional to 688.96, 950.59 and 409.26 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 950.59 = 409.26 : x
  2. Step 2: Convert to fraction form
    688.96/950.59 = 409.26/x
  3. Step 3: Cross multiply
    688.96x = 950.59 × 409.26
  4. Step 4: Simplify right side
    688.96x = 389,031.66
  5. Step 5: Solve for x
    x = 389,031.66/688.96
  6. Step 6: Final answer
    x = 564.67

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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.