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Finding the Fourth Proportional to 583.91, 876.45 and 419.57

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Solution

The fourth proportional to 583.91, 876.45 and 419.57 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.91 : 876.45 = 419.57 : x
  2. Step 2: Convert to fraction form
    583.91/876.45 = 419.57/x
  3. Step 3: Cross multiply
    583.91x = 876.45 × 419.57
  4. Step 4: Simplify right side
    583.91x = 367,736.03
  5. Step 5: Solve for x
    x = 367,736.03/583.91
  6. Step 6: Final answer
    x = 629.78

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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.