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Finding the Fourth Proportional to 804.86, 1,206.46 and 393.86

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Solution

The fourth proportional to 804.86, 1,206.46 and 393.86 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.86 : 1,206.46 = 393.86 : x
  2. Step 2: Convert to fraction form
    804.86/1,206.46 = 393.86/x
  3. Step 3: Cross multiply
    804.86x = 1,206.46 × 393.86
  4. Step 4: Simplify right side
    804.86x = 475,176.34
  5. Step 5: Solve for x
    x = 475,176.34/804.86
  6. Step 6: Final answer
    x = 590.38

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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.