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Finding the Fourth Proportional to 670.28, 1,005.30 and 183.21

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Solution

The fourth proportional to 670.28, 1,005.30 and 183.21 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.28 : 1,005.30 = 183.21 : x
  2. Step 2: Convert to fraction form
    670.28/1,005.30 = 183.21/x
  3. Step 3: Cross multiply
    670.28x = 1,005.30 × 183.21
  4. Step 4: Simplify right side
    670.28x = 184,181.01
  5. Step 5: Solve for x
    x = 184,181.01/670.28
  6. Step 6: Final answer
    x = 274.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.