Home / 1,384.45-2,076.21-459.75

Finding the Fourth Proportional to 1,384.45, 2,076.21 and 459.75

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Solution

The fourth proportional to 1,384.45, 2,076.21 and 459.75 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.45 : 2,076.21 = 459.75 : x
  2. Step 2: Convert to fraction form
    1,384.45/2,076.21 = 459.75/x
  3. Step 3: Cross multiply
    1,384.45x = 2,076.21 × 459.75
  4. Step 4: Simplify right side
    1,384.45x = 954,547.06
  5. Step 5: Solve for x
    x = 954,547.06/1,384.45
  6. Step 6: Final answer
    x = 689.48

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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.