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Finding the Fourth Proportional to 804.94, 1,208.62 and 775.47

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Solution

The fourth proportional to 804.94, 1,208.62 and 775.47 is: 1,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,208.62 = 775.47 : x
  2. Step 2: Convert to fraction form
    804.94/1,208.62 = 775.47/x
  3. Step 3: Cross multiply
    804.94x = 1,208.62 × 775.47
  4. Step 4: Simplify right side
    804.94x = 937,254.05
  5. Step 5: Solve for x
    x = 937,254.05/804.94
  6. Step 6: Final answer
    x = 1,164.38

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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.