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Finding the Fourth Proportional to 804.34, 1,206.99 and 419.70

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Solution

The fourth proportional to 804.34, 1,206.99 and 419.70 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.34 : 1,206.99 = 419.70 : x
  2. Step 2: Convert to fraction form
    804.34/1,206.99 = 419.70/x
  3. Step 3: Cross multiply
    804.34x = 1,206.99 × 419.70
  4. Step 4: Simplify right side
    804.34x = 506,573.70
  5. Step 5: Solve for x
    x = 506,573.70/804.34
  6. Step 6: Final answer
    x = 629.80

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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.