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Finding the Fourth Proportional to 1,228.15, 1,842.23 and 362.46

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Solution

The fourth proportional to 1,228.15, 1,842.23 and 362.46 is: 543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.15 : 1,842.23 = 362.46 : x
  2. Step 2: Convert to fraction form
    1,228.15/1,842.23 = 362.46/x
  3. Step 3: Cross multiply
    1,228.15x = 1,842.23 × 362.46
  4. Step 4: Simplify right side
    1,228.15x = 667,742.50
  5. Step 5: Solve for x
    x = 667,742.50/1,228.15
  6. Step 6: Final answer
    x = 543.70

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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.