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Finding the Fourth Proportional to 850.74, 1,276.05 and 417.78

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Solution

The fourth proportional to 850.74, 1,276.05 and 417.78 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.74 : 1,276.05 = 417.78 : x
  2. Step 2: Convert to fraction form
    850.74/1,276.05 = 417.78/x
  3. Step 3: Cross multiply
    850.74x = 1,276.05 × 417.78
  4. Step 4: Simplify right side
    850.74x = 533,108.17
  5. Step 5: Solve for x
    x = 533,108.17/850.74
  6. Step 6: Final answer
    x = 626.64

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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.