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Finding the Fourth Proportional to 1,590.39, 2,194.74 and 891.78

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Solution

The fourth proportional to 1,590.39, 2,194.74 and 891.78 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.39 : 2,194.74 = 891.78 : x
  2. Step 2: Convert to fraction form
    1,590.39/2,194.74 = 891.78/x
  3. Step 3: Cross multiply
    1,590.39x = 2,194.74 × 891.78
  4. Step 4: Simplify right side
    1,590.39x = 1,957,225.24
  5. Step 5: Solve for x
    x = 1,957,225.24/1,590.39
  6. Step 6: Final answer
    x = 1,230.66

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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.