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Finding the Fourth Proportional to 881.98, 1,323.94 and 650.16

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Solution

The fourth proportional to 881.98, 1,323.94 and 650.16 is: 975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.98 : 1,323.94 = 650.16 : x
  2. Step 2: Convert to fraction form
    881.98/1,323.94 = 650.16/x
  3. Step 3: Cross multiply
    881.98x = 1,323.94 × 650.16
  4. Step 4: Simplify right side
    881.98x = 860,772.83
  5. Step 5: Solve for x
    x = 860,772.83/881.98
  6. Step 6: Final answer
    x = 975.96

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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.