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Finding the Fourth Proportional to 834.48, 1,151.59 and 461.45

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Solution

The fourth proportional to 834.48, 1,151.59 and 461.45 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,151.59 = 461.45 : x
  2. Step 2: Convert to fraction form
    834.48/1,151.59 = 461.45/x
  3. Step 3: Cross multiply
    834.48x = 1,151.59 × 461.45
  4. Step 4: Simplify right side
    834.48x = 531,401.21
  5. Step 5: Solve for x
    x = 531,401.21/834.48
  6. Step 6: Final answer
    x = 636.81

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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.