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Finding the Fourth Proportional to 912.67, 1,369.24 and 365.22

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Solution

The fourth proportional to 912.67, 1,369.24 and 365.22 is: 547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.67 : 1,369.24 = 365.22 : x
  2. Step 2: Convert to fraction form
    912.67/1,369.24 = 365.22/x
  3. Step 3: Cross multiply
    912.67x = 1,369.24 × 365.22
  4. Step 4: Simplify right side
    912.67x = 500,072.92
  5. Step 5: Solve for x
    x = 500,072.92/912.67
  6. Step 6: Final answer
    x = 547.92

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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.