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Finding the Fourth Proportional to 906.04, 1,240.74 and 856.09

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Solution

The fourth proportional to 906.04, 1,240.74 and 856.09 is: 1,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.04 : 1,240.74 = 856.09 : x
  2. Step 2: Convert to fraction form
    906.04/1,240.74 = 856.09/x
  3. Step 3: Cross multiply
    906.04x = 1,240.74 × 856.09
  4. Step 4: Simplify right side
    906.04x = 1,062,185.11
  5. Step 5: Solve for x
    x = 1,062,185.11/906.04
  6. Step 6: Final answer
    x = 1,172.34

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1.5x scale

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.