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Finding the Fourth Proportional to 1,301.97, 1,953.41 and 814.44

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Solution

The fourth proportional to 1,301.97, 1,953.41 and 814.44 is: 1,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.97 : 1,953.41 = 814.44 : x
  2. Step 2: Convert to fraction form
    1,301.97/1,953.41 = 814.44/x
  3. Step 3: Cross multiply
    1,301.97x = 1,953.41 × 814.44
  4. Step 4: Simplify right side
    1,301.97x = 1,590,931.17
  5. Step 5: Solve for x
    x = 1,590,931.17/1,301.97
  6. Step 6: Final answer
    x = 1,221.94

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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.