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Finding the Fourth Proportional to 1,749.45, 2,620.63 and 811.07

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Solution

The fourth proportional to 1,749.45, 2,620.63 and 811.07 is: 1,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.45 : 2,620.63 = 811.07 : x
  2. Step 2: Convert to fraction form
    1,749.45/2,620.63 = 811.07/x
  3. Step 3: Cross multiply
    1,749.45x = 2,620.63 × 811.07
  4. Step 4: Simplify right side
    1,749.45x = 2,125,517.20
  5. Step 5: Solve for x
    x = 2,125,517.20/1,749.45
  6. Step 6: Final answer
    x = 1,214.96

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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.