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Finding the Fourth Proportional to 1,589.78, 2,385.33 and 665.54

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Solution

The fourth proportional to 1,589.78, 2,385.33 and 665.54 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.78 : 2,385.33 = 665.54 : x
  2. Step 2: Convert to fraction form
    1,589.78/2,385.33 = 665.54/x
  3. Step 3: Cross multiply
    1,589.78x = 2,385.33 × 665.54
  4. Step 4: Simplify right side
    1,589.78x = 1,587,532.53
  5. Step 5: Solve for x
    x = 1,587,532.53/1,589.78
  6. Step 6: Final answer
    x = 998.59

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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.