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Finding the Fourth Proportional to 2,309.94, 3,464.91 and 578.56

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Solution

The fourth proportional to 2,309.94, 3,464.91 and 578.56 is: 867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.94 : 3,464.91 = 578.56 : x
  2. Step 2: Convert to fraction form
    2,309.94/3,464.91 = 578.56/x
  3. Step 3: Cross multiply
    2,309.94x = 3,464.91 × 578.56
  4. Step 4: Simplify right side
    2,309.94x = 2,004,658.33
  5. Step 5: Solve for x
    x = 2,004,658.33/2,309.94
  6. Step 6: Final answer
    x = 867.84

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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.