Home / 1,589.24-2,384.20-493.64

Finding the Fourth Proportional to 1,589.24, 2,384.20 and 493.64

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Solution

The fourth proportional to 1,589.24, 2,384.20 and 493.64 is: 740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.24 : 2,384.20 = 493.64 : x
  2. Step 2: Convert to fraction form
    1,589.24/2,384.20 = 493.64/x
  3. Step 3: Cross multiply
    1,589.24x = 2,384.20 × 493.64
  4. Step 4: Simplify right side
    1,589.24x = 1,176,936.49
  5. Step 5: Solve for x
    x = 1,176,936.49/1,589.24
  6. Step 6: Final answer
    x = 740.57

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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.