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Finding the Fourth Proportional to 2,210.43, 3,315.79 and 650.41

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Solution

The fourth proportional to 2,210.43, 3,315.79 and 650.41 is: 975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.43 : 3,315.79 = 650.41 : x
  2. Step 2: Convert to fraction form
    2,210.43/3,315.79 = 650.41/x
  3. Step 3: Cross multiply
    2,210.43x = 3,315.79 × 650.41
  4. Step 4: Simplify right side
    2,210.43x = 2,156,615.50
  5. Step 5: Solve for x
    x = 2,156,615.50/2,210.43
  6. Step 6: Final answer
    x = 975.65

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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.