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Finding the Fourth Proportional to 811.50, 1,216.44 and 446.46

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Solution

The fourth proportional to 811.50, 1,216.44 and 446.46 is: 669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,216.44 = 446.46 : x
  2. Step 2: Convert to fraction form
    811.50/1,216.44 = 446.46/x
  3. Step 3: Cross multiply
    811.50x = 1,216.44 × 446.46
  4. Step 4: Simplify right side
    811.50x = 543,091.80
  5. Step 5: Solve for x
    x = 543,091.80/811.50
  6. Step 6: Final answer
    x = 669.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.