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Finding the Fourth Proportional to 612.05, 919.76 and 381.06

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Solution

The fourth proportional to 612.05, 919.76 and 381.06 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.05 : 919.76 = 381.06 : x
  2. Step 2: Convert to fraction form
    612.05/919.76 = 381.06/x
  3. Step 3: Cross multiply
    612.05x = 919.76 × 381.06
  4. Step 4: Simplify right side
    612.05x = 350,483.75
  5. Step 5: Solve for x
    x = 350,483.75/612.05
  6. Step 6: Final answer
    x = 572.64

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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.