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Finding the Fourth Proportional to 454.01, 626.81 and 322.79

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Solution

The fourth proportional to 454.01, 626.81 and 322.79 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.01 : 626.81 = 322.79 : x
  2. Step 2: Convert to fraction form
    454.01/626.81 = 322.79/x
  3. Step 3: Cross multiply
    454.01x = 626.81 × 322.79
  4. Step 4: Simplify right side
    454.01x = 202,323.25
  5. Step 5: Solve for x
    x = 202,323.25/454.01
  6. Step 6: Final answer
    x = 445.64

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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.