Home / 1,384.35-2,076.11-459.70

Finding the Fourth Proportional to 1,384.35, 2,076.11 and 459.70

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Solution

The fourth proportional to 1,384.35, 2,076.11 and 459.70 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.35 : 2,076.11 = 459.70 : x
  2. Step 2: Convert to fraction form
    1,384.35/2,076.11 = 459.70/x
  3. Step 3: Cross multiply
    1,384.35x = 2,076.11 × 459.70
  4. Step 4: Simplify right side
    1,384.35x = 954,387.77
  5. Step 5: Solve for x
    x = 954,387.77/1,384.35
  6. Step 6: Final answer
    x = 689.41

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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.