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Finding the Fourth Proportional to 912.09, 1,366.65 and 582.44

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Solution

The fourth proportional to 912.09, 1,366.65 and 582.44 is: 872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.09 : 1,366.65 = 582.44 : x
  2. Step 2: Convert to fraction form
    912.09/1,366.65 = 582.44/x
  3. Step 3: Cross multiply
    912.09x = 1,366.65 × 582.44
  4. Step 4: Simplify right side
    912.09x = 795,990.84
  5. Step 5: Solve for x
    x = 795,990.84/912.09
  6. Step 6: Final answer
    x = 872.72

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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.