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Finding the Fourth Proportional to 652.31, 982.88 and 539.29

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Solution

The fourth proportional to 652.31, 982.88 and 539.29 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 982.88 = 539.29 : x
  2. Step 2: Convert to fraction form
    652.31/982.88 = 539.29/x
  3. Step 3: Cross multiply
    652.31x = 982.88 × 539.29
  4. Step 4: Simplify right side
    652.31x = 530,057.36
  5. Step 5: Solve for x
    x = 530,057.36/652.31
  6. Step 6: Final answer
    x = 812.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.