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Finding the Fourth Proportional to 1,170, 1,754.42 and 389.73

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Solution

The fourth proportional to 1,170, 1,754.42 and 389.73 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170 : 1,754.42 = 389.73 : x
  2. Step 2: Convert to fraction form
    1,170/1,754.42 = 389.73/x
  3. Step 3: Cross multiply
    1,170x = 1,754.42 × 389.73
  4. Step 4: Simplify right side
    1,170x = 683,750.11
  5. Step 5: Solve for x
    x = 683,750.11/1,170
  6. Step 6: Final answer
    x = 584.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.