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Finding the Fourth Proportional to 448.83, 619.14 and 289.37

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Solution

The fourth proportional to 448.83, 619.14 and 289.37 is: 399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.83 : 619.14 = 289.37 : x
  2. Step 2: Convert to fraction form
    448.83/619.14 = 289.37/x
  3. Step 3: Cross multiply
    448.83x = 619.14 × 289.37
  4. Step 4: Simplify right side
    448.83x = 179,157.45
  5. Step 5: Solve for x
    x = 179,157.45/448.83
  6. Step 6: Final answer
    x = 399.17

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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.