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Finding the Fourth Proportional to 912.26, 1,368.40 and 729.42

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Solution

The fourth proportional to 912.26, 1,368.40 and 729.42 is: 1,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.26 : 1,368.40 = 729.42 : x
  2. Step 2: Convert to fraction form
    912.26/1,368.40 = 729.42/x
  3. Step 3: Cross multiply
    912.26x = 1,368.40 × 729.42
  4. Step 4: Simplify right side
    912.26x = 998,138.33
  5. Step 5: Solve for x
    x = 998,138.33/912.26
  6. Step 6: Final answer
    x = 1,094.14

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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.