Home / 1,026.31-1,416.33-584.20

Finding the Fourth Proportional to 1,026.31, 1,416.33 and 584.20

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Solution

The fourth proportional to 1,026.31, 1,416.33 and 584.20 is: 806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.31 : 1,416.33 = 584.20 : x
  2. Step 2: Convert to fraction form
    1,026.31/1,416.33 = 584.20/x
  3. Step 3: Cross multiply
    1,026.31x = 1,416.33 × 584.20
  4. Step 4: Simplify right side
    1,026.31x = 827,419.99
  5. Step 5: Solve for x
    x = 827,419.99/1,026.31
  6. Step 6: Final answer
    x = 806.21

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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.