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Finding the Fourth Proportional to 830.45, 1,145.42 and 793.09

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Solution

The fourth proportional to 830.45, 1,145.42 and 793.09 is: 1,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,145.42 = 793.09 : x
  2. Step 2: Convert to fraction form
    830.45/1,145.42 = 793.09/x
  3. Step 3: Cross multiply
    830.45x = 1,145.42 × 793.09
  4. Step 4: Simplify right side
    830.45x = 908,421.59
  5. Step 5: Solve for x
    x = 908,421.59/830.45
  6. Step 6: Final answer
    x = 1,093.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.