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Finding the Fourth Proportional to 670.26, 1,005.74 and 328.26

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Solution

The fourth proportional to 670.26, 1,005.74 and 328.26 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.26 : 1,005.74 = 328.26 : x
  2. Step 2: Convert to fraction form
    670.26/1,005.74 = 328.26/x
  3. Step 3: Cross multiply
    670.26x = 1,005.74 × 328.26
  4. Step 4: Simplify right side
    670.26x = 330,144.21
  5. Step 5: Solve for x
    x = 330,144.21/670.26
  6. Step 6: Final answer
    x = 492.56

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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.