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Finding the Fourth Proportional to 1,314.34, 1,966.50 and 814.09

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Solution

The fourth proportional to 1,314.34, 1,966.50 and 814.09 is: 1,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.34 : 1,966.50 = 814.09 : x
  2. Step 2: Convert to fraction form
    1,314.34/1,966.50 = 814.09/x
  3. Step 3: Cross multiply
    1,314.34x = 1,966.50 × 814.09
  4. Step 4: Simplify right side
    1,314.34x = 1,600,907.99
  5. Step 5: Solve for x
    x = 1,600,907.99/1,314.34
  6. Step 6: Final answer
    x = 1,218.03

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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.