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Finding the Fourth Proportional to 1,586.82, 2,380.23 and 432.58

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Solution

The fourth proportional to 1,586.82, 2,380.23 and 432.58 is: 648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.82 : 2,380.23 = 432.58 : x
  2. Step 2: Convert to fraction form
    1,586.82/2,380.23 = 432.58/x
  3. Step 3: Cross multiply
    1,586.82x = 2,380.23 × 432.58
  4. Step 4: Simplify right side
    1,586.82x = 1,029,639.89
  5. Step 5: Solve for x
    x = 1,029,639.89/1,586.82
  6. Step 6: Final answer
    x = 648.87

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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.