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Finding the Fourth Proportional to 1,314.49, 1,814 and 725.01

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Solution

The fourth proportional to 1,314.49, 1,814 and 725.01 is: 1,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.49 : 1,814 = 725.01 : x
  2. Step 2: Convert to fraction form
    1,314.49/1,814 = 725.01/x
  3. Step 3: Cross multiply
    1,314.49x = 1,814 × 725.01
  4. Step 4: Simplify right side
    1,314.49x = 1,315,168.14
  5. Step 5: Solve for x
    x = 1,315,168.14/1,314.49
  6. Step 6: Final answer
    x = 1,000.52

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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.