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Finding the Fourth Proportional to 786.96, 1,179.72 and 604.80

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Solution

The fourth proportional to 786.96, 1,179.72 and 604.80 is: 906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,179.72 = 604.80 : x
  2. Step 2: Convert to fraction form
    786.96/1,179.72 = 604.80/x
  3. Step 3: Cross multiply
    786.96x = 1,179.72 × 604.80
  4. Step 4: Simplify right side
    786.96x = 713,494.66
  5. Step 5: Solve for x
    x = 713,494.66/786.96
  6. Step 6: Final answer
    x = 906.65

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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.