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Finding the Fourth Proportional to 403.12, 601.25 and 395.83

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Solution

The fourth proportional to 403.12, 601.25 and 395.83 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.12 : 601.25 = 395.83 : x
  2. Step 2: Convert to fraction form
    403.12/601.25 = 395.83/x
  3. Step 3: Cross multiply
    403.12x = 601.25 × 395.83
  4. Step 4: Simplify right side
    403.12x = 237,992.79
  5. Step 5: Solve for x
    x = 237,992.79/403.12
  6. Step 6: Final answer
    x = 590.38

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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.