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Finding the Fourth Proportional to 794.15, 1,190.14 and 505.07

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Solution

The fourth proportional to 794.15, 1,190.14 and 505.07 is: 756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.15 : 1,190.14 = 505.07 : x
  2. Step 2: Convert to fraction form
    794.15/1,190.14 = 505.07/x
  3. Step 3: Cross multiply
    794.15x = 1,190.14 × 505.07
  4. Step 4: Simplify right side
    794.15x = 601,104.01
  5. Step 5: Solve for x
    x = 601,104.01/794.15
  6. Step 6: Final answer
    x = 756.91

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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.