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Finding the Fourth Proportional to 583.50, 874.44 and 419.88

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Solution

The fourth proportional to 583.50, 874.44 and 419.88 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 874.44 = 419.88 : x
  2. Step 2: Convert to fraction form
    583.50/874.44 = 419.88/x
  3. Step 3: Cross multiply
    583.50x = 874.44 × 419.88
  4. Step 4: Simplify right side
    583.50x = 367,159.87
  5. Step 5: Solve for x
    x = 367,159.87/583.50
  6. Step 6: Final answer
    x = 629.24

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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.