Home / 712.23-982.89-397.50

Finding the Fourth Proportional to 712.23, 982.89 and 397.50

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Solution

The fourth proportional to 712.23, 982.89 and 397.50 is: 548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 982.89 = 397.50 : x
  2. Step 2: Convert to fraction form
    712.23/982.89 = 397.50/x
  3. Step 3: Cross multiply
    712.23x = 982.89 × 397.50
  4. Step 4: Simplify right side
    712.23x = 390,698.78
  5. Step 5: Solve for x
    x = 390,698.78/712.23
  6. Step 6: Final answer
    x = 548.56

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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.