Home / 1,734.12-2,601.36-564.30

Finding the Fourth Proportional to 1,734.12, 2,601.36 and 564.30

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Solution

The fourth proportional to 1,734.12, 2,601.36 and 564.30 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.12 : 2,601.36 = 564.30 : x
  2. Step 2: Convert to fraction form
    1,734.12/2,601.36 = 564.30/x
  3. Step 3: Cross multiply
    1,734.12x = 2,601.36 × 564.30
  4. Step 4: Simplify right side
    1,734.12x = 1,467,947.45
  5. Step 5: Solve for x
    x = 1,467,947.45/1,734.12
  6. Step 6: Final answer
    x = 846.51

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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.