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Finding the Fourth Proportional to 449.35, 678.21 and 449.35

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Solution

The fourth proportional to 449.35, 678.21 and 449.35 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.35 : 678.21 = 449.35 : x
  2. Step 2: Convert to fraction form
    449.35/678.21 = 449.35/x
  3. Step 3: Cross multiply
    449.35x = 678.21 × 449.35
  4. Step 4: Simplify right side
    449.35x = 304,750.28
  5. Step 5: Solve for x
    x = 304,750.28/449.35
  6. Step 6: Final answer
    x = 678.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.