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Finding the Fourth Proportional to 538.85, 808.79 and 295.04

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Solution

The fourth proportional to 538.85, 808.79 and 295.04 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 808.79 = 295.04 : x
  2. Step 2: Convert to fraction form
    538.85/808.79 = 295.04/x
  3. Step 3: Cross multiply
    538.85x = 808.79 × 295.04
  4. Step 4: Simplify right side
    538.85x = 238,625.95
  5. Step 5: Solve for x
    x = 238,625.95/538.85
  6. Step 6: Final answer
    x = 442.84

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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.