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Finding the Fourth Proportional to 1,229.42, 1,844.06 and 304.94

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Solution

The fourth proportional to 1,229.42, 1,844.06 and 304.94 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.42 : 1,844.06 = 304.94 : x
  2. Step 2: Convert to fraction form
    1,229.42/1,844.06 = 304.94/x
  3. Step 3: Cross multiply
    1,229.42x = 1,844.06 × 304.94
  4. Step 4: Simplify right side
    1,229.42x = 562,327.66
  5. Step 5: Solve for x
    x = 562,327.66/1,229.42
  6. Step 6: Final answer
    x = 457.39

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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.