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Finding the Fourth Proportional to 814.48, 1,219.88 and 619.18

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Solution

The fourth proportional to 814.48, 1,219.88 and 619.18 is: 927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.48 : 1,219.88 = 619.18 : x
  2. Step 2: Convert to fraction form
    814.48/1,219.88 = 619.18/x
  3. Step 3: Cross multiply
    814.48x = 1,219.88 × 619.18
  4. Step 4: Simplify right side
    814.48x = 755,323.80
  5. Step 5: Solve for x
    x = 755,323.80/814.48
  6. Step 6: Final answer
    x = 927.37

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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.