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Finding the Fourth Proportional to 913.08, 1,369.44 and 263.88

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Solution

The fourth proportional to 913.08, 1,369.44 and 263.88 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.08 : 1,369.44 = 263.88 : x
  2. Step 2: Convert to fraction form
    913.08/1,369.44 = 263.88/x
  3. Step 3: Cross multiply
    913.08x = 1,369.44 × 263.88
  4. Step 4: Simplify right side
    913.08x = 361,367.83
  5. Step 5: Solve for x
    x = 361,367.83/913.08
  6. Step 6: Final answer
    x = 395.77

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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.