Home / 1,028.16-1,419.20-586.40

Finding the Fourth Proportional to 1,028.16, 1,419.20 and 586.40

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Solution

The fourth proportional to 1,028.16, 1,419.20 and 586.40 is: 809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,419.20 = 586.40 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,419.20 = 586.40/x
  3. Step 3: Cross multiply
    1,028.16x = 1,419.20 × 586.40
  4. Step 4: Simplify right side
    1,028.16x = 832,218.88
  5. Step 5: Solve for x
    x = 832,218.88/1,028.16
  6. Step 6: Final answer
    x = 809.43

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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.