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Finding the Fourth Proportional to 729.81, 1,007.03 and 419.25

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Solution

The fourth proportional to 729.81, 1,007.03 and 419.25 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.81 : 1,007.03 = 419.25 : x
  2. Step 2: Convert to fraction form
    729.81/1,007.03 = 419.25/x
  3. Step 3: Cross multiply
    729.81x = 1,007.03 × 419.25
  4. Step 4: Simplify right side
    729.81x = 422,195.23
  5. Step 5: Solve for x
    x = 422,195.23/729.81
  6. Step 6: Final answer
    x = 578.50

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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.