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Finding the Fourth Proportional to 851.90, 1,278.32 and 647.73

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Solution

The fourth proportional to 851.90, 1,278.32 and 647.73 is: 971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,278.32 = 647.73 : x
  2. Step 2: Convert to fraction form
    851.90/1,278.32 = 647.73/x
  3. Step 3: Cross multiply
    851.90x = 1,278.32 × 647.73
  4. Step 4: Simplify right side
    851.90x = 828,002.97
  5. Step 5: Solve for x
    x = 828,002.97/851.90
  6. Step 6: Final answer
    x = 971.95

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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.