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Finding the Fourth Proportional to 612.99, 917.31 and 381.99

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Solution

The fourth proportional to 612.99, 917.31 and 381.99 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 917.31 = 381.99 : x
  2. Step 2: Convert to fraction form
    612.99/917.31 = 381.99/x
  3. Step 3: Cross multiply
    612.99x = 917.31 × 381.99
  4. Step 4: Simplify right side
    612.99x = 350,403.25
  5. Step 5: Solve for x
    x = 350,403.25/612.99
  6. Step 6: Final answer
    x = 571.63

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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.