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Finding the Fourth Proportional to 712.23, 982.50 and 579.59

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Solution

The fourth proportional to 712.23, 982.50 and 579.59 is: 799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 982.50 = 579.59 : x
  2. Step 2: Convert to fraction form
    712.23/982.50 = 579.59/x
  3. Step 3: Cross multiply
    712.23x = 982.50 × 579.59
  4. Step 4: Simplify right side
    712.23x = 569,443.77
  5. Step 5: Solve for x
    x = 569,443.77/712.23
  6. Step 6: Final answer
    x = 799.53

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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.