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Finding the Fourth Proportional to 1,814.35, 2,720.31 and 718.42

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Solution

The fourth proportional to 1,814.35, 2,720.31 and 718.42 is: 1,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.35 : 2,720.31 = 718.42 : x
  2. Step 2: Convert to fraction form
    1,814.35/2,720.31 = 718.42/x
  3. Step 3: Cross multiply
    1,814.35x = 2,720.31 × 718.42
  4. Step 4: Simplify right side
    1,814.35x = 1,954,325.11
  5. Step 5: Solve for x
    x = 1,954,325.11/1,814.35
  6. Step 6: Final answer
    x = 1,077.15

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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.