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Finding the Fourth Proportional to 804.92, 1,206.21 and 393.59

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Solution

The fourth proportional to 804.92, 1,206.21 and 393.59 is: 589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.92 : 1,206.21 = 393.59 : x
  2. Step 2: Convert to fraction form
    804.92/1,206.21 = 393.59/x
  3. Step 3: Cross multiply
    804.92x = 1,206.21 × 393.59
  4. Step 4: Simplify right side
    804.92x = 474,746.16
  5. Step 5: Solve for x
    x = 474,746.16/804.92
  6. Step 6: Final answer
    x = 589.81

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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.