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Finding the Fourth Proportional to 608.83, 912.17 and 415.51

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Solution

The fourth proportional to 608.83, 912.17 and 415.51 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.83 : 912.17 = 415.51 : x
  2. Step 2: Convert to fraction form
    608.83/912.17 = 415.51/x
  3. Step 3: Cross multiply
    608.83x = 912.17 × 415.51
  4. Step 4: Simplify right side
    608.83x = 379,014.82
  5. Step 5: Solve for x
    x = 379,014.82/608.83
  6. Step 6: Final answer
    x = 622.53

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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.