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Finding the Fourth Proportional to 906.20, 1,245.71 and 817.10

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Solution

The fourth proportional to 906.20, 1,245.71 and 817.10 is: 1,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.20 : 1,245.71 = 817.10 : x
  2. Step 2: Convert to fraction form
    906.20/1,245.71 = 817.10/x
  3. Step 3: Cross multiply
    906.20x = 1,245.71 × 817.10
  4. Step 4: Simplify right side
    906.20x = 1,017,865.56
  5. Step 5: Solve for x
    x = 1,017,865.56/906.20
  6. Step 6: Final answer
    x = 1,123.22

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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.