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Finding the Fourth Proportional to 1,894.08, 2,840.16 and 644.25

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Solution

The fourth proportional to 1,894.08, 2,840.16 and 644.25 is: 966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.08 : 2,840.16 = 644.25 : x
  2. Step 2: Convert to fraction form
    1,894.08/2,840.16 = 644.25/x
  3. Step 3: Cross multiply
    1,894.08x = 2,840.16 × 644.25
  4. Step 4: Simplify right side
    1,894.08x = 1,829,786.15
  5. Step 5: Solve for x
    x = 1,829,786.15/1,894.08
  6. Step 6: Final answer
    x = 966.05

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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.