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Finding the Fourth Proportional to 906.89, 1,254.57 and 874.09

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Solution

The fourth proportional to 906.89, 1,254.57 and 874.09 is: 1,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.89 : 1,254.57 = 874.09 : x
  2. Step 2: Convert to fraction form
    906.89/1,254.57 = 874.09/x
  3. Step 3: Cross multiply
    906.89x = 1,254.57 × 874.09
  4. Step 4: Simplify right side
    906.89x = 1,096,600.82
  5. Step 5: Solve for x
    x = 1,096,600.82/906.89
  6. Step 6: Final answer
    x = 1,209.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.