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Finding the Fourth Proportional to 814.41, 1,222.14 and 522.12

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Solution

The fourth proportional to 814.41, 1,222.14 and 522.12 is: 783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.41 : 1,222.14 = 522.12 : x
  2. Step 2: Convert to fraction form
    814.41/1,222.14 = 522.12/x
  3. Step 3: Cross multiply
    814.41x = 1,222.14 × 522.12
  4. Step 4: Simplify right side
    814.41x = 638,103.74
  5. Step 5: Solve for x
    x = 638,103.74/814.41
  6. Step 6: Final answer
    x = 783.52

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Double scale
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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.