Home / 1,581.49-2,371.82-470.64

Finding the Fourth Proportional to 1,581.49, 2,371.82 and 470.64

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Solution

The fourth proportional to 1,581.49, 2,371.82 and 470.64 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.49 : 2,371.82 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,581.49/2,371.82 = 470.64/x
  3. Step 3: Cross multiply
    1,581.49x = 2,371.82 × 470.64
  4. Step 4: Simplify right side
    1,581.49x = 1,116,273.36
  5. Step 5: Solve for x
    x = 1,116,273.36/1,581.49
  6. Step 6: Final answer
    x = 705.84

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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.