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Finding the Fourth Proportional to 902.26, 1,352.89 and 555.72

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Solution

The fourth proportional to 902.26, 1,352.89 and 555.72 is: 833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.26 : 1,352.89 = 555.72 : x
  2. Step 2: Convert to fraction form
    902.26/1,352.89 = 555.72/x
  3. Step 3: Cross multiply
    902.26x = 1,352.89 × 555.72
  4. Step 4: Simplify right side
    902.26x = 751,826.64
  5. Step 5: Solve for x
    x = 751,826.64/902.26
  6. Step 6: Final answer
    x = 833.27

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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.