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Finding the Fourth Proportional to 448.68, 619.19 and 386.83

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Solution

The fourth proportional to 448.68, 619.19 and 386.83 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.68 : 619.19 = 386.83 : x
  2. Step 2: Convert to fraction form
    448.68/619.19 = 386.83/x
  3. Step 3: Cross multiply
    448.68x = 619.19 × 386.83
  4. Step 4: Simplify right side
    448.68x = 239,520.25
  5. Step 5: Solve for x
    x = 239,520.25/448.68
  6. Step 6: Final answer
    x = 533.84

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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.