Home / 1,383.02-2,074.50-458.56

Finding the Fourth Proportional to 1,383.02, 2,074.50 and 458.56

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Solution

The fourth proportional to 1,383.02, 2,074.50 and 458.56 is: 687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.02 : 2,074.50 = 458.56 : x
  2. Step 2: Convert to fraction form
    1,383.02/2,074.50 = 458.56/x
  3. Step 3: Cross multiply
    1,383.02x = 2,074.50 × 458.56
  4. Step 4: Simplify right side
    1,383.02x = 951,282.72
  5. Step 5: Solve for x
    x = 951,282.72/1,383.02
  6. Step 6: Final answer
    x = 687.83

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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.