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Finding the Fourth Proportional to 1,644.00, 2,465.97 and 411.40

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Solution

The fourth proportional to 1,644.00, 2,465.97 and 411.40 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.00 : 2,465.97 = 411.40 : x
  2. Step 2: Convert to fraction form
    1,644.00/2,465.97 = 411.40/x
  3. Step 3: Cross multiply
    1,644.00x = 2,465.97 × 411.40
  4. Step 4: Simplify right side
    1,644.00x = 1,014,509.69
  5. Step 5: Solve for x
    x = 1,014,509.69/1,644.00
  6. Step 6: Final answer
    x = 617.10

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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.