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Finding the Fourth Proportional to 900.01, 1,241.99 and 506.98

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Solution

The fourth proportional to 900.01, 1,241.99 and 506.98 is: 699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.01 : 1,241.99 = 506.98 : x
  2. Step 2: Convert to fraction form
    900.01/1,241.99 = 506.98/x
  3. Step 3: Cross multiply
    900.01x = 1,241.99 × 506.98
  4. Step 4: Simplify right side
    900.01x = 629,661.56
  5. Step 5: Solve for x
    x = 629,661.56/900.01
  6. Step 6: Final answer
    x = 699.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.