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Finding the Fourth Proportional to 712.89, 982.67 and 674.01

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Solution

The fourth proportional to 712.89, 982.67 and 674.01 is: 929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.89 : 982.67 = 674.01 : x
  2. Step 2: Convert to fraction form
    712.89/982.67 = 674.01/x
  3. Step 3: Cross multiply
    712.89x = 982.67 × 674.01
  4. Step 4: Simplify right side
    712.89x = 662,326.04
  5. Step 5: Solve for x
    x = 662,326.04/712.89
  6. Step 6: Final answer
    x = 929.07

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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.