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Finding the Fourth Proportional to 901.22, 1,349.69 and 704.84

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Solution

The fourth proportional to 901.22, 1,349.69 and 704.84 is: 1,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.22 : 1,349.69 = 704.84 : x
  2. Step 2: Convert to fraction form
    901.22/1,349.69 = 704.84/x
  3. Step 3: Cross multiply
    901.22x = 1,349.69 × 704.84
  4. Step 4: Simplify right side
    901.22x = 951,305.23
  5. Step 5: Solve for x
    x = 951,305.23/901.22
  6. Step 6: Final answer
    x = 1,055.58

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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.