Home / 1,028.35-1,419.20-586.20

Finding the Fourth Proportional to 1,028.35, 1,419.20 and 586.20

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Solution

The fourth proportional to 1,028.35, 1,419.20 and 586.20 is: 809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.35 : 1,419.20 = 586.20 : x
  2. Step 2: Convert to fraction form
    1,028.35/1,419.20 = 586.20/x
  3. Step 3: Cross multiply
    1,028.35x = 1,419.20 × 586.20
  4. Step 4: Simplify right side
    1,028.35x = 831,935.04
  5. Step 5: Solve for x
    x = 831,935.04/1,028.35
  6. Step 6: Final answer
    x = 809.00

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1.5x scale

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.