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Finding the Fourth Proportional to 583.50, 873.89 and 420.39

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Solution

The fourth proportional to 583.50, 873.89 and 420.39 is: 629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 873.89 = 420.39 : x
  2. Step 2: Convert to fraction form
    583.50/873.89 = 420.39/x
  3. Step 3: Cross multiply
    583.50x = 873.89 × 420.39
  4. Step 4: Simplify right side
    583.50x = 367,374.09
  5. Step 5: Solve for x
    x = 367,374.09/583.50
  6. Step 6: Final answer
    x = 629.60

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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.