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Finding the Fourth Proportional to 1,586.86, 2,377.67 and 546.29

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Solution

The fourth proportional to 1,586.86, 2,377.67 and 546.29 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.86 : 2,377.67 = 546.29 : x
  2. Step 2: Convert to fraction form
    1,586.86/2,377.67 = 546.29/x
  3. Step 3: Cross multiply
    1,586.86x = 2,377.67 × 546.29
  4. Step 4: Simplify right side
    1,586.86x = 1,298,908.09
  5. Step 5: Solve for x
    x = 1,298,908.09/1,586.86
  6. Step 6: Final answer
    x = 818.54

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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.