Home / 1,580.61-2,371.28-485.09

Finding the Fourth Proportional to 1,580.61, 2,371.28 and 485.09

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Solution

The fourth proportional to 1,580.61, 2,371.28 and 485.09 is: 727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.61 : 2,371.28 = 485.09 : x
  2. Step 2: Convert to fraction form
    1,580.61/2,371.28 = 485.09/x
  3. Step 3: Cross multiply
    1,580.61x = 2,371.28 × 485.09
  4. Step 4: Simplify right side
    1,580.61x = 1,150,278.83
  5. Step 5: Solve for x
    x = 1,150,278.83/1,580.61
  6. Step 6: Final answer
    x = 727.74

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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.