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Finding the Fourth Proportional to 538.67, 808.01 and 442.28

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Solution

The fourth proportional to 538.67, 808.01 and 442.28 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 808.01 = 442.28 : x
  2. Step 2: Convert to fraction form
    538.67/808.01 = 442.28/x
  3. Step 3: Cross multiply
    538.67x = 808.01 × 442.28
  4. Step 4: Simplify right side
    538.67x = 357,366.66
  5. Step 5: Solve for x
    x = 357,366.66/538.67
  6. Step 6: Final answer
    x = 663.42

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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.