Home / 1,029.28-1,419.81-587.09

Finding the Fourth Proportional to 1,029.28, 1,419.81 and 587.09

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Solution

The fourth proportional to 1,029.28, 1,419.81 and 587.09 is: 809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.28 : 1,419.81 = 587.09 : x
  2. Step 2: Convert to fraction form
    1,029.28/1,419.81 = 587.09/x
  3. Step 3: Cross multiply
    1,029.28x = 1,419.81 × 587.09
  4. Step 4: Simplify right side
    1,029.28x = 833,556.25
  5. Step 5: Solve for x
    x = 833,556.25/1,029.28
  6. Step 6: Final answer
    x = 809.84

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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.