Home / 1,028.59-1,419.35-586.45

Finding the Fourth Proportional to 1,028.59, 1,419.35 and 586.45

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Solution

The fourth proportional to 1,028.59, 1,419.35 and 586.45 is: 809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.59 : 1,419.35 = 586.45 : x
  2. Step 2: Convert to fraction form
    1,028.59/1,419.35 = 586.45/x
  3. Step 3: Cross multiply
    1,028.59x = 1,419.35 × 586.45
  4. Step 4: Simplify right side
    1,028.59x = 832,374.88
  5. Step 5: Solve for x
    x = 832,374.88/1,028.59
  6. Step 6: Final answer
    x = 809.24

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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.