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Finding the Fourth Proportional to 1,580.98, 2,371.31 and 485.35

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Solution

The fourth proportional to 1,580.98, 2,371.31 and 485.35 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.98 : 2,371.31 = 485.35 : x
  2. Step 2: Convert to fraction form
    1,580.98/2,371.31 = 485.35/x
  3. Step 3: Cross multiply
    1,580.98x = 2,371.31 × 485.35
  4. Step 4: Simplify right side
    1,580.98x = 1,150,906.95
  5. Step 5: Solve for x
    x = 1,150,906.95/1,580.98
  6. Step 6: Final answer
    x = 727.97

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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.