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Finding the Fourth Proportional to 846.98, 1,268.50 and 823.63

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Solution

The fourth proportional to 846.98, 1,268.50 and 823.63 is: 1,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.98 : 1,268.50 = 823.63 : x
  2. Step 2: Convert to fraction form
    846.98/1,268.50 = 823.63/x
  3. Step 3: Cross multiply
    846.98x = 1,268.50 × 823.63
  4. Step 4: Simplify right side
    846.98x = 1,044,774.66
  5. Step 5: Solve for x
    x = 1,044,774.66/846.98
  6. Step 6: Final answer
    x = 1,233.53

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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.