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Finding the Fourth Proportional to 1,479.21, 2,218.79 and 383.54

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Solution

The fourth proportional to 1,479.21, 2,218.79 and 383.54 is: 575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.21 : 2,218.79 = 383.54 : x
  2. Step 2: Convert to fraction form
    1,479.21/2,218.79 = 383.54/x
  3. Step 3: Cross multiply
    1,479.21x = 2,218.79 × 383.54
  4. Step 4: Simplify right side
    1,479.21x = 850,981.70
  5. Step 5: Solve for x
    x = 850,981.70/1,479.21
  6. Step 6: Final answer
    x = 575.29

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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.