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Finding the Fourth Proportional to 789.84, 1,185.12 and 405.36

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Solution

The fourth proportional to 789.84, 1,185.12 and 405.36 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,185.12 = 405.36 : x
  2. Step 2: Convert to fraction form
    789.84/1,185.12 = 405.36/x
  3. Step 3: Cross multiply
    789.84x = 1,185.12 × 405.36
  4. Step 4: Simplify right side
    789.84x = 480,400.24
  5. Step 5: Solve for x
    x = 480,400.24/789.84
  6. Step 6: Final answer
    x = 608.22

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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.