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Finding the Fourth Proportional to 845.47, 1,167.11 and 514

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Solution

The fourth proportional to 845.47, 1,167.11 and 514 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.47 : 1,167.11 = 514 : x
  2. Step 2: Convert to fraction form
    845.47/1,167.11 = 514/x
  3. Step 3: Cross multiply
    845.47x = 1,167.11 × 514
  4. Step 4: Simplify right side
    845.47x = 599,891.97
  5. Step 5: Solve for x
    x = 599,891.97/845.47
  6. Step 6: Final answer
    x = 709.54

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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.