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Finding the Fourth Proportional to 834.46, 1,151.46 and 485.14

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Solution

The fourth proportional to 834.46, 1,151.46 and 485.14 is: 669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.46 : 1,151.46 = 485.14 : x
  2. Step 2: Convert to fraction form
    834.46/1,151.46 = 485.14/x
  3. Step 3: Cross multiply
    834.46x = 1,151.46 × 485.14
  4. Step 4: Simplify right side
    834.46x = 558,619.30
  5. Step 5: Solve for x
    x = 558,619.30/834.46
  6. Step 6: Final answer
    x = 669.44

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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.