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Finding the Fourth Proportional to 899.07, 1,240.74 and 506.09

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Solution

The fourth proportional to 899.07, 1,240.74 and 506.09 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.07 : 1,240.74 = 506.09 : x
  2. Step 2: Convert to fraction form
    899.07/1,240.74 = 506.09/x
  3. Step 3: Cross multiply
    899.07x = 1,240.74 × 506.09
  4. Step 4: Simplify right side
    899.07x = 627,919.90
  5. Step 5: Solve for x
    x = 627,919.90/899.07
  6. Step 6: Final answer
    x = 698.41

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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.