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Finding the Fourth Proportional to 397.72, 592.07 and 395.56

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Solution

The fourth proportional to 397.72, 592.07 and 395.56 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.72 : 592.07 = 395.56 : x
  2. Step 2: Convert to fraction form
    397.72/592.07 = 395.56/x
  3. Step 3: Cross multiply
    397.72x = 592.07 × 395.56
  4. Step 4: Simplify right side
    397.72x = 234,199.21
  5. Step 5: Solve for x
    x = 234,199.21/397.72
  6. Step 6: Final answer
    x = 588.85

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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.