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Finding the Fourth Proportional to 830.78, 1,245.24 and 668.58

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Solution

The fourth proportional to 830.78, 1,245.24 and 668.58 is: 1,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.78 : 1,245.24 = 668.58 : x
  2. Step 2: Convert to fraction form
    830.78/1,245.24 = 668.58/x
  3. Step 3: Cross multiply
    830.78x = 1,245.24 × 668.58
  4. Step 4: Simplify right side
    830.78x = 832,542.56
  5. Step 5: Solve for x
    x = 832,542.56/830.78
  6. Step 6: Final answer
    x = 1,002.12

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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.