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Finding the Fourth Proportional to 724.21, 1,086.22 and 313.01

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Solution

The fourth proportional to 724.21, 1,086.22 and 313.01 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 1,086.22 = 313.01 : x
  2. Step 2: Convert to fraction form
    724.21/1,086.22 = 313.01/x
  3. Step 3: Cross multiply
    724.21x = 1,086.22 × 313.01
  4. Step 4: Simplify right side
    724.21x = 339,991.51
  5. Step 5: Solve for x
    x = 339,991.51/724.21
  6. Step 6: Final answer
    x = 469.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.