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Finding the Fourth Proportional to 448.62, 618 and 447.36

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Solution

The fourth proportional to 448.62, 618 and 447.36 is: 616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.62 : 618 = 447.36 : x
  2. Step 2: Convert to fraction form
    448.62/618 = 447.36/x
  3. Step 3: Cross multiply
    448.62x = 618 × 447.36
  4. Step 4: Simplify right side
    448.62x = 276,468.48
  5. Step 5: Solve for x
    x = 276,468.48/448.62
  6. Step 6: Final answer
    x = 616.26

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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.