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Finding the Fourth Proportional to 1,614.34, 2,421.78 and 640.45

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Solution

The fourth proportional to 1,614.34, 2,421.78 and 640.45 is: 960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.34 : 2,421.78 = 640.45 : x
  2. Step 2: Convert to fraction form
    1,614.34/2,421.78 = 640.45/x
  3. Step 3: Cross multiply
    1,614.34x = 2,421.78 × 640.45
  4. Step 4: Simplify right side
    1,614.34x = 1,551,029.00
  5. Step 5: Solve for x
    x = 1,551,029.00/1,614.34
  6. Step 6: Final answer
    x = 960.78

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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.