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Finding the Fourth Proportional to 2,215.86, 3,323.30 and 655.98

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Solution

The fourth proportional to 2,215.86, 3,323.30 and 655.98 is: 983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.86 : 3,323.30 = 655.98 : x
  2. Step 2: Convert to fraction form
    2,215.86/3,323.30 = 655.98/x
  3. Step 3: Cross multiply
    2,215.86x = 3,323.30 × 655.98
  4. Step 4: Simplify right side
    2,215.86x = 2,180,015.05
  5. Step 5: Solve for x
    x = 2,180,015.05/2,215.86
  6. Step 6: Final answer
    x = 983.82

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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.