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Finding the Fourth Proportional to 804.85, 1,206.46 and 561.31

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Solution

The fourth proportional to 804.85, 1,206.46 and 561.31 is: 841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.85 : 1,206.46 = 561.31 : x
  2. Step 2: Convert to fraction form
    804.85/1,206.46 = 561.31/x
  3. Step 3: Cross multiply
    804.85x = 1,206.46 × 561.31
  4. Step 4: Simplify right side
    804.85x = 677,198.06
  5. Step 5: Solve for x
    x = 677,198.06/804.85
  6. Step 6: Final answer
    x = 841.40

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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.