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Finding the Fourth Proportional to 850.50, 1,276.02 and 337.50

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Solution

The fourth proportional to 850.50, 1,276.02 and 337.50 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,276.02 = 337.50 : x
  2. Step 2: Convert to fraction form
    850.50/1,276.02 = 337.50/x
  3. Step 3: Cross multiply
    850.50x = 1,276.02 × 337.50
  4. Step 4: Simplify right side
    850.50x = 430,656.75
  5. Step 5: Solve for x
    x = 430,656.75/850.50
  6. Step 6: Final answer
    x = 506.36

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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.