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Finding the Fourth Proportional to 1,590.89, 2,195.30 and 892.13

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Solution

The fourth proportional to 1,590.89, 2,195.30 and 892.13 is: 1,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.89 : 2,195.30 = 892.13 : x
  2. Step 2: Convert to fraction form
    1,590.89/2,195.30 = 892.13/x
  3. Step 3: Cross multiply
    1,590.89x = 2,195.30 × 892.13
  4. Step 4: Simplify right side
    1,590.89x = 1,958,484.24
  5. Step 5: Solve for x
    x = 1,958,484.24/1,590.89
  6. Step 6: Final answer
    x = 1,231.07

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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.