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Finding the Fourth Proportional to 837.73, 1,254.97 and 414.98

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Solution

The fourth proportional to 837.73, 1,254.97 and 414.98 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.73 : 1,254.97 = 414.98 : x
  2. Step 2: Convert to fraction form
    837.73/1,254.97 = 414.98/x
  3. Step 3: Cross multiply
    837.73x = 1,254.97 × 414.98
  4. Step 4: Simplify right side
    837.73x = 520,787.45
  5. Step 5: Solve for x
    x = 520,787.45/837.73
  6. Step 6: Final answer
    x = 621.67

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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.