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Finding the Fourth Proportional to 810.86, 1,208.24 and 771.68

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Solution

The fourth proportional to 810.86, 1,208.24 and 771.68 is: 1,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.86 : 1,208.24 = 771.68 : x
  2. Step 2: Convert to fraction form
    810.86/1,208.24 = 771.68/x
  3. Step 3: Cross multiply
    810.86x = 1,208.24 × 771.68
  4. Step 4: Simplify right side
    810.86x = 932,374.64
  5. Step 5: Solve for x
    x = 932,374.64/810.86
  6. Step 6: Final answer
    x = 1,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.