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Finding the Fourth Proportional to 929.18, 1,394.18 and 381.48

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Solution

The fourth proportional to 929.18, 1,394.18 and 381.48 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.18 : 1,394.18 = 381.48 : x
  2. Step 2: Convert to fraction form
    929.18/1,394.18 = 381.48/x
  3. Step 3: Cross multiply
    929.18x = 1,394.18 × 381.48
  4. Step 4: Simplify right side
    929.18x = 531,849.88
  5. Step 5: Solve for x
    x = 531,849.88/929.18
  6. Step 6: Final answer
    x = 572.39

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