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Finding the Fourth Proportional to 1,745.70, 2,619.20 and 821.56

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Solution

The fourth proportional to 1,745.70, 2,619.20 and 821.56 is: 1,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.70 : 2,619.20 = 821.56 : x
  2. Step 2: Convert to fraction form
    1,745.70/2,619.20 = 821.56/x
  3. Step 3: Cross multiply
    1,745.70x = 2,619.20 × 821.56
  4. Step 4: Simplify right side
    1,745.70x = 2,151,829.95
  5. Step 5: Solve for x
    x = 2,151,829.95/1,745.70
  6. Step 6: Final answer
    x = 1,232.65

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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.