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Finding the Fourth Proportional to 397.85, 593.73 and 388.76

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Solution

The fourth proportional to 397.85, 593.73 and 388.76 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 593.73 = 388.76 : x
  2. Step 2: Convert to fraction form
    397.85/593.73 = 388.76/x
  3. Step 3: Cross multiply
    397.85x = 593.73 × 388.76
  4. Step 4: Simplify right side
    397.85x = 230,815.51
  5. Step 5: Solve for x
    x = 230,815.51/397.85
  6. Step 6: Final answer
    x = 580.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.