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Finding the Fourth Proportional to 823.25, 1,235.86 and 650.05

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Solution

The fourth proportional to 823.25, 1,235.86 and 650.05 is: 975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.25 : 1,235.86 = 650.05 : x
  2. Step 2: Convert to fraction form
    823.25/1,235.86 = 650.05/x
  3. Step 3: Cross multiply
    823.25x = 1,235.86 × 650.05
  4. Step 4: Simplify right side
    823.25x = 803,366.08
  5. Step 5: Solve for x
    x = 803,366.08/823.25
  6. Step 6: Final answer
    x = 975.84

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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.