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Finding the Fourth Proportional to 1,272.89, 1,906.85 and 604.84

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Solution

The fourth proportional to 1,272.89, 1,906.85 and 604.84 is: 906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.89 : 1,906.85 = 604.84 : x
  2. Step 2: Convert to fraction form
    1,272.89/1,906.85 = 604.84/x
  3. Step 3: Cross multiply
    1,272.89x = 1,906.85 × 604.84
  4. Step 4: Simplify right side
    1,272.89x = 1,153,341.42
  5. Step 5: Solve for x
    x = 1,153,341.42/1,272.89
  6. Step 6: Final answer
    x = 906.08

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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.