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Finding the Fourth Proportional to 608.74, 912.34 and 261.67

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Solution

The fourth proportional to 608.74, 912.34 and 261.67 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.74 : 912.34 = 261.67 : x
  2. Step 2: Convert to fraction form
    608.74/912.34 = 261.67/x
  3. Step 3: Cross multiply
    608.74x = 912.34 × 261.67
  4. Step 4: Simplify right side
    608.74x = 238,732.01
  5. Step 5: Solve for x
    x = 238,732.01/608.74
  6. Step 6: Final answer
    x = 392.17

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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.