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Finding the Fourth Proportional to 495, 682.74 and 318.06

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Solution

The fourth proportional to 495, 682.74 and 318.06 is: 438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 682.74 = 318.06 : x
  2. Step 2: Convert to fraction form
    495/682.74 = 318.06/x
  3. Step 3: Cross multiply
    495x = 682.74 × 318.06
  4. Step 4: Simplify right side
    495x = 217,152.28
  5. Step 5: Solve for x
    x = 217,152.28/495
  6. Step 6: Final answer
    x = 438.69

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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.