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Finding the Fourth Proportional to 1,590.43, 2,194.86 and 891.82

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Solution

The fourth proportional to 1,590.43, 2,194.86 and 891.82 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.43 : 2,194.86 = 891.82 : x
  2. Step 2: Convert to fraction form
    1,590.43/2,194.86 = 891.82/x
  3. Step 3: Cross multiply
    1,590.43x = 2,194.86 × 891.82
  4. Step 4: Simplify right side
    1,590.43x = 1,957,420.05
  5. Step 5: Solve for x
    x = 1,957,420.05/1,590.43
  6. Step 6: Final answer
    x = 1,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.