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Finding the Fourth Proportional to 491.85, 678.60 and 325.89

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Solution

The fourth proportional to 491.85, 678.60 and 325.89 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.85 : 678.60 = 325.89 : x
  2. Step 2: Convert to fraction form
    491.85/678.60 = 325.89/x
  3. Step 3: Cross multiply
    491.85x = 678.60 × 325.89
  4. Step 4: Simplify right side
    491.85x = 221,144.95
  5. Step 5: Solve for x
    x = 221,144.95/491.85
  6. Step 6: Final answer
    x = 449.62

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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.