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Finding the Fourth Proportional to 1,176.78, 1,765.68 and 396.89

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Solution

The fourth proportional to 1,176.78, 1,765.68 and 396.89 is: 595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.78 : 1,765.68 = 396.89 : x
  2. Step 2: Convert to fraction form
    1,176.78/1,765.68 = 396.89/x
  3. Step 3: Cross multiply
    1,176.78x = 1,765.68 × 396.89
  4. Step 4: Simplify right side
    1,176.78x = 700,780.74
  5. Step 5: Solve for x
    x = 700,780.74/1,176.78
  6. Step 6: Final answer
    x = 595.51

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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.