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Finding the Fourth Proportional to 1,590.39, 2,194.61 and 891.63

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Solution

The fourth proportional to 1,590.39, 2,194.61 and 891.63 is: 1,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.39 : 2,194.61 = 891.63 : x
  2. Step 2: Convert to fraction form
    1,590.39/2,194.61 = 891.63/x
  3. Step 3: Cross multiply
    1,590.39x = 2,194.61 × 891.63
  4. Step 4: Simplify right side
    1,590.39x = 1,956,780.11
  5. Step 5: Solve for x
    x = 1,956,780.11/1,590.39
  6. Step 6: Final answer
    x = 1,230.38

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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.