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Finding the Fourth Proportional to 1,433.45, 1,978.26 and 803.97

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Solution

The fourth proportional to 1,433.45, 1,978.26 and 803.97 is: 1,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.45 : 1,978.26 = 803.97 : x
  2. Step 2: Convert to fraction form
    1,433.45/1,978.26 = 803.97/x
  3. Step 3: Cross multiply
    1,433.45x = 1,978.26 × 803.97
  4. Step 4: Simplify right side
    1,433.45x = 1,590,461.69
  5. Step 5: Solve for x
    x = 1,590,461.69/1,433.45
  6. Step 6: Final answer
    x = 1,109.54

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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.