Home / 1,470.24-2,028.96-807.09

Finding the Fourth Proportional to 1,470.24, 2,028.96 and 807.09

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Solution

The fourth proportional to 1,470.24, 2,028.96 and 807.09 is: 1,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.24 : 2,028.96 = 807.09 : x
  2. Step 2: Convert to fraction form
    1,470.24/2,028.96 = 807.09/x
  3. Step 3: Cross multiply
    1,470.24x = 2,028.96 × 807.09
  4. Step 4: Simplify right side
    1,470.24x = 1,637,553.33
  5. Step 5: Solve for x
    x = 1,637,553.33/1,470.24
  6. Step 6: Final answer
    x = 1,113.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.