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Finding the Fourth Proportional to 929.96, 1,394.93 and 381.75

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Solution

The fourth proportional to 929.96, 1,394.93 and 381.75 is: 572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.96 : 1,394.93 = 381.75 : x
  2. Step 2: Convert to fraction form
    929.96/1,394.93 = 381.75/x
  3. Step 3: Cross multiply
    929.96x = 1,394.93 × 381.75
  4. Step 4: Simplify right side
    929.96x = 532,514.53
  5. Step 5: Solve for x
    x = 532,514.53/929.96
  6. Step 6: Final answer
    x = 572.62

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Double scale
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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.