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Finding the Fourth Proportional to 1,614.50, 2,421.89 and 640.61

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Solution

The fourth proportional to 1,614.50, 2,421.89 and 640.61 is: 960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.50 : 2,421.89 = 640.61 : x
  2. Step 2: Convert to fraction form
    1,614.50/2,421.89 = 640.61/x
  3. Step 3: Cross multiply
    1,614.50x = 2,421.89 × 640.61
  4. Step 4: Simplify right side
    1,614.50x = 1,551,483.75
  5. Step 5: Solve for x
    x = 1,551,483.75/1,614.50
  6. Step 6: Final answer
    x = 960.97

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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.