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Finding the Fourth Proportional to 1,181.87, 1,772.93 and 488.59

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Solution

The fourth proportional to 1,181.87, 1,772.93 and 488.59 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.87 : 1,772.93 = 488.59 : x
  2. Step 2: Convert to fraction form
    1,181.87/1,772.93 = 488.59/x
  3. Step 3: Cross multiply
    1,181.87x = 1,772.93 × 488.59
  4. Step 4: Simplify right side
    1,181.87x = 866,235.87
  5. Step 5: Solve for x
    x = 866,235.87/1,181.87
  6. Step 6: Final answer
    x = 732.94

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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.