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Finding the Fourth Proportional to 832.82, 1,149.26 and 483.57

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Solution

The fourth proportional to 832.82, 1,149.26 and 483.57 is: 667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.82 : 1,149.26 = 483.57 : x
  2. Step 2: Convert to fraction form
    832.82/1,149.26 = 483.57/x
  3. Step 3: Cross multiply
    832.82x = 1,149.26 × 483.57
  4. Step 4: Simplify right side
    832.82x = 555,745.24
  5. Step 5: Solve for x
    x = 555,745.24/832.82
  6. Step 6: Final answer
    x = 667.31

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1.5x scale

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.