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Finding the Fourth Proportional to 1,071.58, 1,604.94 and 747.19

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Solution

The fourth proportional to 1,071.58, 1,604.94 and 747.19 is: 1,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.58 : 1,604.94 = 747.19 : x
  2. Step 2: Convert to fraction form
    1,071.58/1,604.94 = 747.19/x
  3. Step 3: Cross multiply
    1,071.58x = 1,604.94 × 747.19
  4. Step 4: Simplify right side
    1,071.58x = 1,199,195.12
  5. Step 5: Solve for x
    x = 1,199,195.12/1,071.58
  6. Step 6: Final answer
    x = 1,119.09

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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.