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Finding the Fourth Proportional to 1,590.56, 2,194.98 and 891.94

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Solution

The fourth proportional to 1,590.56, 2,194.98 and 891.94 is: 1,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.56 : 2,194.98 = 891.94 : x
  2. Step 2: Convert to fraction form
    1,590.56/2,194.98 = 891.94/x
  3. Step 3: Cross multiply
    1,590.56x = 2,194.98 × 891.94
  4. Step 4: Simplify right side
    1,590.56x = 1,957,782.74
  5. Step 5: Solve for x
    x = 1,957,782.74/1,590.56
  6. Step 6: Final answer
    x = 1,230.87

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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.