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Finding the Fourth Proportional to 1,181.64, 1,771.87 and 359.72

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Solution

The fourth proportional to 1,181.64, 1,771.87 and 359.72 is: 539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.64 : 1,771.87 = 359.72 : x
  2. Step 2: Convert to fraction form
    1,181.64/1,771.87 = 359.72/x
  3. Step 3: Cross multiply
    1,181.64x = 1,771.87 × 359.72
  4. Step 4: Simplify right side
    1,181.64x = 637,377.08
  5. Step 5: Solve for x
    x = 637,377.08/1,181.64
  6. Step 6: Final answer
    x = 539.40

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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.