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Finding the Fourth Proportional to 837.70, 1,257.03 and 375.50

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Solution

The fourth proportional to 837.70, 1,257.03 and 375.50 is: 563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,257.03 = 375.50 : x
  2. Step 2: Convert to fraction form
    837.70/1,257.03 = 375.50/x
  3. Step 3: Cross multiply
    837.70x = 1,257.03 × 375.50
  4. Step 4: Simplify right side
    837.70x = 472,014.77
  5. Step 5: Solve for x
    x = 472,014.77/837.70
  6. Step 6: Final answer
    x = 563.47

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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.