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Finding the Fourth Proportional to 538.86, 808.98 and 448.68

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Solution

The fourth proportional to 538.86, 808.98 and 448.68 is: 673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 808.98 = 448.68 : x
  2. Step 2: Convert to fraction form
    538.86/808.98 = 448.68/x
  3. Step 3: Cross multiply
    538.86x = 808.98 × 448.68
  4. Step 4: Simplify right side
    538.86x = 362,973.15
  5. Step 5: Solve for x
    x = 362,973.15/538.86
  6. Step 6: Final answer
    x = 673.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.