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Finding the Fourth Proportional to 2,225.77, 3,336.33 and 764.11

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Solution

The fourth proportional to 2,225.77, 3,336.33 and 764.11 is: 1,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.77 : 3,336.33 = 764.11 : x
  2. Step 2: Convert to fraction form
    2,225.77/3,336.33 = 764.11/x
  3. Step 3: Cross multiply
    2,225.77x = 3,336.33 × 764.11
  4. Step 4: Simplify right side
    2,225.77x = 2,549,323.12
  5. Step 5: Solve for x
    x = 2,549,323.12/2,225.77
  6. Step 6: Final answer
    x = 1,145.37

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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.