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Finding the Fourth Proportional to 906.09, 1,250.40 and 492.09

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Solution

The fourth proportional to 906.09, 1,250.40 and 492.09 is: 679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.09 : 1,250.40 = 492.09 : x
  2. Step 2: Convert to fraction form
    906.09/1,250.40 = 492.09/x
  3. Step 3: Cross multiply
    906.09x = 1,250.40 × 492.09
  4. Step 4: Simplify right side
    906.09x = 615,309.34
  5. Step 5: Solve for x
    x = 615,309.34/906.09
  6. Step 6: Final answer
    x = 679.08

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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.