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Finding the Fourth Proportional to 495.04, 683.04 and 298.56

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Solution

The fourth proportional to 495.04, 683.04 and 298.56 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.04 : 683.04 = 298.56 : x
  2. Step 2: Convert to fraction form
    495.04/683.04 = 298.56/x
  3. Step 3: Cross multiply
    495.04x = 683.04 × 298.56
  4. Step 4: Simplify right side
    495.04x = 203,928.42
  5. Step 5: Solve for x
    x = 203,928.42/495.04
  6. Step 6: Final answer
    x = 411.94

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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.