Home / 1,028.30-1,419.08-586.31

Finding the Fourth Proportional to 1,028.30, 1,419.08 and 586.31

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Solution

The fourth proportional to 1,028.30, 1,419.08 and 586.31 is: 809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.30 : 1,419.08 = 586.31 : x
  2. Step 2: Convert to fraction form
    1,028.30/1,419.08 = 586.31/x
  3. Step 3: Cross multiply
    1,028.30x = 1,419.08 × 586.31
  4. Step 4: Simplify right side
    1,028.30x = 832,010.77
  5. Step 5: Solve for x
    x = 832,010.77/1,028.30
  6. Step 6: Final answer
    x = 809.12

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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.