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Finding the Fourth Proportional to 1,580.65, 2,371.20 and 484.85

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Solution

The fourth proportional to 1,580.65, 2,371.20 and 484.85 is: 727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.65 : 2,371.20 = 484.85 : x
  2. Step 2: Convert to fraction form
    1,580.65/2,371.20 = 484.85/x
  3. Step 3: Cross multiply
    1,580.65x = 2,371.20 × 484.85
  4. Step 4: Simplify right side
    1,580.65x = 1,149,676.32
  5. Step 5: Solve for x
    x = 1,149,676.32/1,580.65
  6. Step 6: Final answer
    x = 727.34

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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.