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Finding the Fourth Proportional to 891.75, 1,230.99 and 582.15

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Solution

The fourth proportional to 891.75, 1,230.99 and 582.15 is: 803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,230.99 = 582.15 : x
  2. Step 2: Convert to fraction form
    891.75/1,230.99 = 582.15/x
  3. Step 3: Cross multiply
    891.75x = 1,230.99 × 582.15
  4. Step 4: Simplify right side
    891.75x = 716,620.83
  5. Step 5: Solve for x
    x = 716,620.83/891.75
  6. Step 6: Final answer
    x = 803.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.