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Finding the Fourth Proportional to 832.67, 1,149.12 and 459.70

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Solution

The fourth proportional to 832.67, 1,149.12 and 459.70 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.67 : 1,149.12 = 459.70 : x
  2. Step 2: Convert to fraction form
    832.67/1,149.12 = 459.70/x
  3. Step 3: Cross multiply
    832.67x = 1,149.12 × 459.70
  4. Step 4: Simplify right side
    832.67x = 528,250.46
  5. Step 5: Solve for x
    x = 528,250.46/832.67
  6. Step 6: Final answer
    x = 634.41

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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.