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Finding the Fourth Proportional to 814.78, 1,124.42 and 483.09

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Solution

The fourth proportional to 814.78, 1,124.42 and 483.09 is: 666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.78 : 1,124.42 = 483.09 : x
  2. Step 2: Convert to fraction form
    814.78/1,124.42 = 483.09/x
  3. Step 3: Cross multiply
    814.78x = 1,124.42 × 483.09
  4. Step 4: Simplify right side
    814.78x = 543,189.43
  5. Step 5: Solve for x
    x = 543,189.43/814.78
  6. Step 6: Final answer
    x = 666.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.