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Finding the Fourth Proportional to 845.79, 1,167.31 and 610.50

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Solution

The fourth proportional to 845.79, 1,167.31 and 610.50 is: 842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.79 : 1,167.31 = 610.50 : x
  2. Step 2: Convert to fraction form
    845.79/1,167.31 = 610.50/x
  3. Step 3: Cross multiply
    845.79x = 1,167.31 × 610.50
  4. Step 4: Simplify right side
    845.79x = 712,642.97
  5. Step 5: Solve for x
    x = 712,642.97/845.79
  6. Step 6: Final answer
    x = 842.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.