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Finding the Fourth Proportional to 612.74, 917.08 and 381.80

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Solution

The fourth proportional to 612.74, 917.08 and 381.80 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 917.08 = 381.80 : x
  2. Step 2: Convert to fraction form
    612.74/917.08 = 381.80/x
  3. Step 3: Cross multiply
    612.74x = 917.08 × 381.80
  4. Step 4: Simplify right side
    612.74x = 350,141.14
  5. Step 5: Solve for x
    x = 350,141.14/612.74
  6. Step 6: Final answer
    x = 571.44

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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.