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Finding the Fourth Proportional to 419.50, 573.50 and 402.49

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Solution

The fourth proportional to 419.50, 573.50 and 402.49 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 573.50 = 402.49 : x
  2. Step 2: Convert to fraction form
    419.50/573.50 = 402.49/x
  3. Step 3: Cross multiply
    419.50x = 573.50 × 402.49
  4. Step 4: Simplify right side
    419.50x = 230,828.02
  5. Step 5: Solve for x
    x = 230,828.02/419.50
  6. Step 6: Final answer
    x = 550.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.