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Finding the Fourth Proportional to 1,342.12, 2,012.91 and 725.71

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Solution

The fourth proportional to 1,342.12, 2,012.91 and 725.71 is: 1,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.12 : 2,012.91 = 725.71 : x
  2. Step 2: Convert to fraction form
    1,342.12/2,012.91 = 725.71/x
  3. Step 3: Cross multiply
    1,342.12x = 2,012.91 × 725.71
  4. Step 4: Simplify right side
    1,342.12x = 1,460,788.92
  5. Step 5: Solve for x
    x = 1,460,788.92/1,342.12
  6. Step 6: Final answer
    x = 1,088.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.