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Finding the Fourth Proportional to 671.96, 1,007.96 and 185.00

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Solution

The fourth proportional to 671.96, 1,007.96 and 185.00 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.96 : 1,007.96 = 185.00 : x
  2. Step 2: Convert to fraction form
    671.96/1,007.96 = 185.00/x
  3. Step 3: Cross multiply
    671.96x = 1,007.96 × 185.00
  4. Step 4: Simplify right side
    671.96x = 186,466.64
  5. Step 5: Solve for x
    x = 186,466.64/671.96
  6. Step 6: Final answer
    x = 277.50

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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.