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Finding the Fourth Proportional to 1,173.21, 1,759.62 and 442.59

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Solution

The fourth proportional to 1,173.21, 1,759.62 and 442.59 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.21 : 1,759.62 = 442.59 : x
  2. Step 2: Convert to fraction form
    1,173.21/1,759.62 = 442.59/x
  3. Step 3: Cross multiply
    1,173.21x = 1,759.62 × 442.59
  4. Step 4: Simplify right side
    1,173.21x = 778,790.22
  5. Step 5: Solve for x
    x = 778,790.22/1,173.21
  6. Step 6: Final answer
    x = 663.81

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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.