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Finding the Fourth Proportional to 851.86, 1,276.58 and 669.62

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Solution

The fourth proportional to 851.86, 1,276.58 and 669.62 is: 1,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.86 : 1,276.58 = 669.62 : x
  2. Step 2: Convert to fraction form
    851.86/1,276.58 = 669.62/x
  3. Step 3: Cross multiply
    851.86x = 1,276.58 × 669.62
  4. Step 4: Simplify right side
    851.86x = 854,823.50
  5. Step 5: Solve for x
    x = 854,823.50/851.86
  6. Step 6: Final answer
    x = 1,003.48

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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.