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Finding the Fourth Proportional to 1,590.87, 2,194.39 and 985.06

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Solution

The fourth proportional to 1,590.87, 2,194.39 and 985.06 is: 1,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.87 : 2,194.39 = 985.06 : x
  2. Step 2: Convert to fraction form
    1,590.87/2,194.39 = 985.06/x
  3. Step 3: Cross multiply
    1,590.87x = 2,194.39 × 985.06
  4. Step 4: Simplify right side
    1,590.87x = 2,161,608.23
  5. Step 5: Solve for x
    x = 2,161,608.23/1,590.87
  6. Step 6: Final answer
    x = 1,358.76

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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.