Home / 1,280.97-1,921.56-459.30

Finding the Fourth Proportional to 1,280.97, 1,921.56 and 459.30

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Solution

The fourth proportional to 1,280.97, 1,921.56 and 459.30 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.97 : 1,921.56 = 459.30 : x
  2. Step 2: Convert to fraction form
    1,280.97/1,921.56 = 459.30/x
  3. Step 3: Cross multiply
    1,280.97x = 1,921.56 × 459.30
  4. Step 4: Simplify right side
    1,280.97x = 882,572.51
  5. Step 5: Solve for x
    x = 882,572.51/1,280.97
  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.