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Finding the Fourth Proportional to 804.41, 1,206.61 and 420.41

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Solution

The fourth proportional to 804.41, 1,206.61 and 420.41 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.41 : 1,206.61 = 420.41 : x
  2. Step 2: Convert to fraction form
    804.41/1,206.61 = 420.41/x
  3. Step 3: Cross multiply
    804.41x = 1,206.61 × 420.41
  4. Step 4: Simplify right side
    804.41x = 507,270.91
  5. Step 5: Solve for x
    x = 507,270.91/804.41
  6. Step 6: Final answer
    x = 630.61

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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.