Home / 1,384.10-2,076.03-459.36

Finding the Fourth Proportional to 1,384.10, 2,076.03 and 459.36

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Solution

The fourth proportional to 1,384.10, 2,076.03 and 459.36 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.10 : 2,076.03 = 459.36 : x
  2. Step 2: Convert to fraction form
    1,384.10/2,076.03 = 459.36/x
  3. Step 3: Cross multiply
    1,384.10x = 2,076.03 × 459.36
  4. Step 4: Simplify right side
    1,384.10x = 953,634.76
  5. Step 5: Solve for x
    x = 953,634.76/1,384.10
  6. Step 6: Final answer
    x = 688.99

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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.