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Finding the Fourth Proportional to 1,590.49, 2,194.86 and 891.86

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Solution

The fourth proportional to 1,590.49, 2,194.86 and 891.86 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.49 : 2,194.86 = 891.86 : x
  2. Step 2: Convert to fraction form
    1,590.49/2,194.86 = 891.86/x
  3. Step 3: Cross multiply
    1,590.49x = 2,194.86 × 891.86
  4. Step 4: Simplify right side
    1,590.49x = 1,957,513.33
  5. Step 5: Solve for x
    x = 1,957,513.33/1,590.49
  6. Step 6: Final answer
    x = 1,230.76

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1.5x scale

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.