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Finding the Fourth Proportional to 494.79, 683.69 and 354.66

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Solution

The fourth proportional to 494.79, 683.69 and 354.66 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.79 : 683.69 = 354.66 : x
  2. Step 2: Convert to fraction form
    494.79/683.69 = 354.66/x
  3. Step 3: Cross multiply
    494.79x = 683.69 × 354.66
  4. Step 4: Simplify right side
    494.79x = 242,475.72
  5. Step 5: Solve for x
    x = 242,475.72/494.79
  6. Step 6: Final answer
    x = 490.06

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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.