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Finding the Fourth Proportional to 604.33, 906.89 and 257.67

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Solution

The fourth proportional to 604.33, 906.89 and 257.67 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.33 : 906.89 = 257.67 : x
  2. Step 2: Convert to fraction form
    604.33/906.89 = 257.67/x
  3. Step 3: Cross multiply
    604.33x = 906.89 × 257.67
  4. Step 4: Simplify right side
    604.33x = 233,677.06
  5. Step 5: Solve for x
    x = 233,677.06/604.33
  6. Step 6: Final answer
    x = 386.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.