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Finding the Fourth Proportional to 847.89, 1,268.66 and 550.35

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Solution

The fourth proportional to 847.89, 1,268.66 and 550.35 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.89 : 1,268.66 = 550.35 : x
  2. Step 2: Convert to fraction form
    847.89/1,268.66 = 550.35/x
  3. Step 3: Cross multiply
    847.89x = 1,268.66 × 550.35
  4. Step 4: Simplify right side
    847.89x = 698,204.28
  5. Step 5: Solve for x
    x = 698,204.28/847.89
  6. Step 6: Final answer
    x = 823.46

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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.