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Finding the Fourth Proportional to 399.57, 595.85 and 395.92

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Solution

The fourth proportional to 399.57, 595.85 and 395.92 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.57 : 595.85 = 395.92 : x
  2. Step 2: Convert to fraction form
    399.57/595.85 = 395.92/x
  3. Step 3: Cross multiply
    399.57x = 595.85 × 395.92
  4. Step 4: Simplify right side
    399.57x = 235,908.93
  5. Step 5: Solve for x
    x = 235,908.93/399.57
  6. Step 6: Final answer
    x = 590.41

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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.