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Finding the Fourth Proportional to 913.09, 1,369.89 and 365.66

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Solution

The fourth proportional to 913.09, 1,369.89 and 365.66 is: 548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.09 : 1,369.89 = 365.66 : x
  2. Step 2: Convert to fraction form
    913.09/1,369.89 = 365.66/x
  3. Step 3: Cross multiply
    913.09x = 1,369.89 × 365.66
  4. Step 4: Simplify right side
    913.09x = 500,913.98
  5. Step 5: Solve for x
    x = 500,913.98/913.09
  6. Step 6: Final answer
    x = 548.59

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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.