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Finding the Fourth Proportional to 851.62, 1,274.07 and 608.74

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Solution

The fourth proportional to 851.62, 1,274.07 and 608.74 is: 910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.62 : 1,274.07 = 608.74 : x
  2. Step 2: Convert to fraction form
    851.62/1,274.07 = 608.74/x
  3. Step 3: Cross multiply
    851.62x = 1,274.07 × 608.74
  4. Step 4: Simplify right side
    851.62x = 775,577.37
  5. Step 5: Solve for x
    x = 775,577.37/851.62
  6. Step 6: Final answer
    x = 910.71

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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.