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Finding the Fourth Proportional to 1,035.89, 1,553.02 and 419.75

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Solution

The fourth proportional to 1,035.89, 1,553.02 and 419.75 is: 629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.89 : 1,553.02 = 419.75 : x
  2. Step 2: Convert to fraction form
    1,035.89/1,553.02 = 419.75/x
  3. Step 3: Cross multiply
    1,035.89x = 1,553.02 × 419.75
  4. Step 4: Simplify right side
    1,035.89x = 651,880.15
  5. Step 5: Solve for x
    x = 651,880.15/1,035.89
  6. Step 6: Final answer
    x = 629.29

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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.