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Finding the Fourth Proportional to 1,633.60, 2,450.40 and 756.10

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Solution

The fourth proportional to 1,633.60, 2,450.40 and 756.10 is: 1,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.60 : 2,450.40 = 756.10 : x
  2. Step 2: Convert to fraction form
    1,633.60/2,450.40 = 756.10/x
  3. Step 3: Cross multiply
    1,633.60x = 2,450.40 × 756.10
  4. Step 4: Simplify right side
    1,633.60x = 1,852,747.44
  5. Step 5: Solve for x
    x = 1,852,747.44/1,633.60
  6. Step 6: Final answer
    x = 1,134.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.