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Finding the Fourth Proportional to 906.34, 1,250.75 and 492.34

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Solution

The fourth proportional to 906.34, 1,250.75 and 492.34 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.34 : 1,250.75 = 492.34 : x
  2. Step 2: Convert to fraction form
    906.34/1,250.75 = 492.34/x
  3. Step 3: Cross multiply
    906.34x = 1,250.75 × 492.34
  4. Step 4: Simplify right side
    906.34x = 615,794.26
  5. Step 5: Solve for x
    x = 615,794.26/906.34
  6. Step 6: Final answer
    x = 679.43

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1.5x scale

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.