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Finding the Fourth Proportional to 899.18, 1,240.85 and 506.20

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Solution

The fourth proportional to 899.18, 1,240.85 and 506.20 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.18 : 1,240.85 = 506.20 : x
  2. Step 2: Convert to fraction form
    899.18/1,240.85 = 506.20/x
  3. Step 3: Cross multiply
    899.18x = 1,240.85 × 506.20
  4. Step 4: Simplify right side
    899.18x = 628,112.64
  5. Step 5: Solve for x
    x = 628,112.64/899.18
  6. Step 6: Final answer
    x = 698.54

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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.