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Finding the Fourth Proportional to 898.49, 1,346.90 and 321.23

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Solution

The fourth proportional to 898.49, 1,346.90 and 321.23 is: 481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,346.90 = 321.23 : x
  2. Step 2: Convert to fraction form
    898.49/1,346.90 = 321.23/x
  3. Step 3: Cross multiply
    898.49x = 1,346.90 × 321.23
  4. Step 4: Simplify right side
    898.49x = 432,658.76
  5. Step 5: Solve for x
    x = 432,658.76/898.49
  6. Step 6: Final answer
    x = 481.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.