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Finding the Fourth Proportional to 494.56, 683.48 and 370.64

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Solution

The fourth proportional to 494.56, 683.48 and 370.64 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.56 : 683.48 = 370.64 : x
  2. Step 2: Convert to fraction form
    494.56/683.48 = 370.64/x
  3. Step 3: Cross multiply
    494.56x = 683.48 × 370.64
  4. Step 4: Simplify right side
    494.56x = 253,325.03
  5. Step 5: Solve for x
    x = 253,325.03/494.56
  6. Step 6: Final answer
    x = 512.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.