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Finding the Fourth Proportional to 607.89, 912.22 and 278.78

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Solution

The fourth proportional to 607.89, 912.22 and 278.78 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.89 : 912.22 = 278.78 : x
  2. Step 2: Convert to fraction form
    607.89/912.22 = 278.78/x
  3. Step 3: Cross multiply
    607.89x = 912.22 × 278.78
  4. Step 4: Simplify right side
    607.89x = 254,302.74
  5. Step 5: Solve for x
    x = 254,302.74/607.89
  6. Step 6: Final answer
    x = 418.34

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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.