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Finding the Fourth Proportional to 814.97, 1,215.24 and 700.14

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Solution

The fourth proportional to 814.97, 1,215.24 and 700.14 is: 1,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.97 : 1,215.24 = 700.14 : x
  2. Step 2: Convert to fraction form
    814.97/1,215.24 = 700.14/x
  3. Step 3: Cross multiply
    814.97x = 1,215.24 × 700.14
  4. Step 4: Simplify right side
    814.97x = 850,838.13
  5. Step 5: Solve for x
    x = 850,838.13/814.97
  6. Step 6: Final answer
    x = 1,044.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.