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Finding the Fourth Proportional to 780.33, 1,170.47 and 195.33

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Solution

The fourth proportional to 780.33, 1,170.47 and 195.33 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.33 : 1,170.47 = 195.33 : x
  2. Step 2: Convert to fraction form
    780.33/1,170.47 = 195.33/x
  3. Step 3: Cross multiply
    780.33x = 1,170.47 × 195.33
  4. Step 4: Simplify right side
    780.33x = 228,627.91
  5. Step 5: Solve for x
    x = 228,627.91/780.33
  6. Step 6: Final answer
    x = 292.99

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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.