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Finding the Fourth Proportional to 767.56, 1,149.74 and 357.05

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Solution

The fourth proportional to 767.56, 1,149.74 and 357.05 is: 534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.56 : 1,149.74 = 357.05 : x
  2. Step 2: Convert to fraction form
    767.56/1,149.74 = 357.05/x
  3. Step 3: Cross multiply
    767.56x = 1,149.74 × 357.05
  4. Step 4: Simplify right side
    767.56x = 410,514.67
  5. Step 5: Solve for x
    x = 410,514.67/767.56
  6. Step 6: Final answer
    x = 534.83

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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.