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Finding the Fourth Proportional to 1,302.59, 1,950.92 and 814.43

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Solution

The fourth proportional to 1,302.59, 1,950.92 and 814.43 is: 1,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.59 : 1,950.92 = 814.43 : x
  2. Step 2: Convert to fraction form
    1,302.59/1,950.92 = 814.43/x
  3. Step 3: Cross multiply
    1,302.59x = 1,950.92 × 814.43
  4. Step 4: Simplify right side
    1,302.59x = 1,588,891.63
  5. Step 5: Solve for x
    x = 1,588,891.63/1,302.59
  6. Step 6: Final answer
    x = 1,219.79

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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.