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Finding the Fourth Proportional to 1,264.94, 1,897.41 and 443.23

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Solution

The fourth proportional to 1,264.94, 1,897.41 and 443.23 is: 664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.94 : 1,897.41 = 443.23 : x
  2. Step 2: Convert to fraction form
    1,264.94/1,897.41 = 443.23/x
  3. Step 3: Cross multiply
    1,264.94x = 1,897.41 × 443.23
  4. Step 4: Simplify right side
    1,264.94x = 840,985.95
  5. Step 5: Solve for x
    x = 840,985.95/1,264.94
  6. Step 6: Final answer
    x = 664.84

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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.