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Finding the Fourth Proportional to 1,586.90, 2,380.41 and 546.99

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Solution

The fourth proportional to 1,586.90, 2,380.41 and 546.99 is: 820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.90 : 2,380.41 = 546.99 : x
  2. Step 2: Convert to fraction form
    1,586.90/2,380.41 = 546.99/x
  3. Step 3: Cross multiply
    1,586.90x = 2,380.41 × 546.99
  4. Step 4: Simplify right side
    1,586.90x = 1,302,060.47
  5. Step 5: Solve for x
    x = 1,302,060.47/1,586.90
  6. Step 6: Final answer
    x = 820.51

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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.