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Finding the Fourth Proportional to 906.01, 1,242.77 and 898.20

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Solution

The fourth proportional to 906.01, 1,242.77 and 898.20 is: 1,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.01 : 1,242.77 = 898.20 : x
  2. Step 2: Convert to fraction form
    906.01/1,242.77 = 898.20/x
  3. Step 3: Cross multiply
    906.01x = 1,242.77 × 898.20
  4. Step 4: Simplify right side
    906.01x = 1,116,251.52
  5. Step 5: Solve for x
    x = 1,116,251.52/906.01
  6. Step 6: Final answer
    x = 1,232.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.