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Finding the Fourth Proportional to 537.37, 802.20 and 513.73

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Solution

The fourth proportional to 537.37, 802.20 and 513.73 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.37 : 802.20 = 513.73 : x
  2. Step 2: Convert to fraction form
    537.37/802.20 = 513.73/x
  3. Step 3: Cross multiply
    537.37x = 802.20 × 513.73
  4. Step 4: Simplify right side
    537.37x = 412,114.21
  5. Step 5: Solve for x
    x = 412,114.21/537.37
  6. Step 6: Final answer
    x = 766.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.