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Finding the Fourth Proportional to 899.43, 1,240.99 and 506.45

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Solution

The fourth proportional to 899.43, 1,240.99 and 506.45 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.43 : 1,240.99 = 506.45 : x
  2. Step 2: Convert to fraction form
    899.43/1,240.99 = 506.45/x
  3. Step 3: Cross multiply
    899.43x = 1,240.99 × 506.45
  4. Step 4: Simplify right side
    899.43x = 628,493.18
  5. Step 5: Solve for x
    x = 628,493.18/899.43
  6. Step 6: Final answer
    x = 698.77

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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.