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Finding the Fourth Proportional to 1,388.36, 2,081.90 and 522.12

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Solution

The fourth proportional to 1,388.36, 2,081.90 and 522.12 is: 782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.36 : 2,081.90 = 522.12 : x
  2. Step 2: Convert to fraction form
    1,388.36/2,081.90 = 522.12/x
  3. Step 3: Cross multiply
    1,388.36x = 2,081.90 × 522.12
  4. Step 4: Simplify right side
    1,388.36x = 1,087,001.63
  5. Step 5: Solve for x
    x = 1,087,001.63/1,388.36
  6. Step 6: Final answer
    x = 782.94

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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.