Home / 1,026.19-1,416.15-584.12

Finding the Fourth Proportional to 1,026.19, 1,416.15 and 584.12

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Solution

The fourth proportional to 1,026.19, 1,416.15 and 584.12 is: 806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.19 : 1,416.15 = 584.12 : x
  2. Step 2: Convert to fraction form
    1,026.19/1,416.15 = 584.12/x
  3. Step 3: Cross multiply
    1,026.19x = 1,416.15 × 584.12
  4. Step 4: Simplify right side
    1,026.19x = 827,207.95
  5. Step 5: Solve for x
    x = 827,207.95/1,026.19
  6. Step 6: Final answer
    x = 806.09

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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.