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Finding the Fourth Proportional to 1,051.56, 1,578.12 and 394.05

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Solution

The fourth proportional to 1,051.56, 1,578.12 and 394.05 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,578.12 = 394.05 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,578.12 = 394.05/x
  3. Step 3: Cross multiply
    1,051.56x = 1,578.12 × 394.05
  4. Step 4: Simplify right side
    1,051.56x = 621,858.19
  5. Step 5: Solve for x
    x = 621,858.19/1,051.56
  6. Step 6: Final answer
    x = 591.37

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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.