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Finding the Fourth Proportional to 1,742.36, 2,612.92 and 755.13

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Solution

The fourth proportional to 1,742.36, 2,612.92 and 755.13 is: 1,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.36 : 2,612.92 = 755.13 : x
  2. Step 2: Convert to fraction form
    1,742.36/2,612.92 = 755.13/x
  3. Step 3: Cross multiply
    1,742.36x = 2,612.92 × 755.13
  4. Step 4: Simplify right side
    1,742.36x = 1,973,094.28
  5. Step 5: Solve for x
    x = 1,973,094.28/1,742.36
  6. Step 6: Final answer
    x = 1,132.43

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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.