Home / 1,238.20-1,857.21-457.84

Finding the Fourth Proportional to 1,238.20, 1,857.21 and 457.84

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Solution

The fourth proportional to 1,238.20, 1,857.21 and 457.84 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.20 : 1,857.21 = 457.84 : x
  2. Step 2: Convert to fraction form
    1,238.20/1,857.21 = 457.84/x
  3. Step 3: Cross multiply
    1,238.20x = 1,857.21 × 457.84
  4. Step 4: Simplify right side
    1,238.20x = 850,302.70
  5. Step 5: Solve for x
    x = 850,302.70/1,238.20
  6. Step 6: Final answer
    x = 686.72

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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.