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Finding the Fourth Proportional to 449.51, 678.49 and 449.51

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Solution

The fourth proportional to 449.51, 678.49 and 449.51 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.51 : 678.49 = 449.51 : x
  2. Step 2: Convert to fraction form
    449.51/678.49 = 449.51/x
  3. Step 3: Cross multiply
    449.51x = 678.49 × 449.51
  4. Step 4: Simplify right side
    449.51x = 304,988.04
  5. Step 5: Solve for x
    x = 304,988.04/449.51
  6. Step 6: Final answer
    x = 678.49

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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.