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Finding the Fourth Proportional to 491.67, 682.02 and 455.22

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Solution

The fourth proportional to 491.67, 682.02 and 455.22 is: 631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 682.02 = 455.22 : x
  2. Step 2: Convert to fraction form
    491.67/682.02 = 455.22/x
  3. Step 3: Cross multiply
    491.67x = 682.02 × 455.22
  4. Step 4: Simplify right side
    491.67x = 310,469.14
  5. Step 5: Solve for x
    x = 310,469.14/491.67
  6. Step 6: Final answer
    x = 631.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.