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Finding the Fourth Proportional to 729.25, 1,004.97 and 466.81

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Solution

The fourth proportional to 729.25, 1,004.97 and 466.81 is: 643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.25 : 1,004.97 = 466.81 : x
  2. Step 2: Convert to fraction form
    729.25/1,004.97 = 466.81/x
  3. Step 3: Cross multiply
    729.25x = 1,004.97 × 466.81
  4. Step 4: Simplify right side
    729.25x = 469,130.05
  5. Step 5: Solve for x
    x = 469,130.05/729.25
  6. Step 6: Final answer
    x = 643.30

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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.