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Finding the Fourth Proportional to 608.29, 912.74 and 261.53

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Solution

The fourth proportional to 608.29, 912.74 and 261.53 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.29 : 912.74 = 261.53 : x
  2. Step 2: Convert to fraction form
    608.29/912.74 = 261.53/x
  3. Step 3: Cross multiply
    608.29x = 912.74 × 261.53
  4. Step 4: Simplify right side
    608.29x = 238,708.89
  5. Step 5: Solve for x
    x = 238,708.89/608.29
  6. Step 6: Final answer
    x = 392.43

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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.