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Finding the Fourth Proportional to 1,384.60, 2,076.78 and 459.86

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Solution

The fourth proportional to 1,384.60, 2,076.78 and 459.86 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.60 : 2,076.78 = 459.86 : x
  2. Step 2: Convert to fraction form
    1,384.60/2,076.78 = 459.86/x
  3. Step 3: Cross multiply
    1,384.60x = 2,076.78 × 459.86
  4. Step 4: Simplify right side
    1,384.60x = 955,028.05
  5. Step 5: Solve for x
    x = 955,028.05/1,384.60
  6. Step 6: Final answer
    x = 689.75

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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.