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Finding the Fourth Proportional to 1,640.02, 2,263.26 and 894.02

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Solution

The fourth proportional to 1,640.02, 2,263.26 and 894.02 is: 1,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.02 : 2,263.26 = 894.02 : x
  2. Step 2: Convert to fraction form
    1,640.02/2,263.26 = 894.02/x
  3. Step 3: Cross multiply
    1,640.02x = 2,263.26 × 894.02
  4. Step 4: Simplify right side
    1,640.02x = 2,023,399.71
  5. Step 5: Solve for x
    x = 2,023,399.71/1,640.02
  6. Step 6: Final answer
    x = 1,233.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.