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Finding the Fourth Proportional to 1,236.68, 1,854.83 and 457.05

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Solution

The fourth proportional to 1,236.68, 1,854.83 and 457.05 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.68 : 1,854.83 = 457.05 : x
  2. Step 2: Convert to fraction form
    1,236.68/1,854.83 = 457.05/x
  3. Step 3: Cross multiply
    1,236.68x = 1,854.83 × 457.05
  4. Step 4: Simplify right side
    1,236.68x = 847,755.58
  5. Step 5: Solve for x
    x = 847,755.58/1,236.68
  6. Step 6: Final answer
    x = 685.51

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Double scale
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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.