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Finding the Fourth Proportional to 495.64, 683.69 and 318.55

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Solution

The fourth proportional to 495.64, 683.69 and 318.55 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.64 : 683.69 = 318.55 : x
  2. Step 2: Convert to fraction form
    495.64/683.69 = 318.55/x
  3. Step 3: Cross multiply
    495.64x = 683.69 × 318.55
  4. Step 4: Simplify right side
    495.64x = 217,786.06
  5. Step 5: Solve for x
    x = 217,786.06/495.64
  6. Step 6: Final answer
    x = 439.40

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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.