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Finding the Fourth Proportional to 832.63, 1,149.09 and 459.62

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Solution

The fourth proportional to 832.63, 1,149.09 and 459.62 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.63 : 1,149.09 = 459.62 : x
  2. Step 2: Convert to fraction form
    832.63/1,149.09 = 459.62/x
  3. Step 3: Cross multiply
    832.63x = 1,149.09 × 459.62
  4. Step 4: Simplify right side
    832.63x = 528,144.75
  5. Step 5: Solve for x
    x = 528,144.75/832.63
  6. Step 6: Final answer
    x = 634.31

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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.