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Finding the Fourth Proportional to 1,590.38, 2,194.28 and 960.78

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Solution

The fourth proportional to 1,590.38, 2,194.28 and 960.78 is: 1,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.38 : 2,194.28 = 960.78 : x
  2. Step 2: Convert to fraction form
    1,590.38/2,194.28 = 960.78/x
  3. Step 3: Cross multiply
    1,590.38x = 2,194.28 × 960.78
  4. Step 4: Simplify right side
    1,590.38x = 2,108,220.34
  5. Step 5: Solve for x
    x = 2,108,220.34/1,590.38
  6. Step 6: Final answer
    x = 1,325.61

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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.