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Finding the Fourth Proportional to 1,484.39, 2,226.60 and 388.76

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Solution

The fourth proportional to 1,484.39, 2,226.60 and 388.76 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.39 : 2,226.60 = 388.76 : x
  2. Step 2: Convert to fraction form
    1,484.39/2,226.60 = 388.76/x
  3. Step 3: Cross multiply
    1,484.39x = 2,226.60 × 388.76
  4. Step 4: Simplify right side
    1,484.39x = 865,601.88
  5. Step 5: Solve for x
    x = 865,601.88/1,484.39
  6. Step 6: Final answer
    x = 583.14

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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.