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Finding the Fourth Proportional to 608.36, 912.38 and 283.82

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Solution

The fourth proportional to 608.36, 912.38 and 283.82 is: 425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 912.38 = 283.82 : x
  2. Step 2: Convert to fraction form
    608.36/912.38 = 283.82/x
  3. Step 3: Cross multiply
    608.36x = 912.38 × 283.82
  4. Step 4: Simplify right side
    608.36x = 258,951.69
  5. Step 5: Solve for x
    x = 258,951.69/608.36
  6. Step 6: Final answer
    x = 425.66

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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.