Home / 1,026.21-1,416.29-584.15

Finding the Fourth Proportional to 1,026.21, 1,416.29 and 584.15

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Solution

The fourth proportional to 1,026.21, 1,416.29 and 584.15 is: 806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.21 : 1,416.29 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,026.21/1,416.29 = 584.15/x
  3. Step 3: Cross multiply
    1,026.21x = 1,416.29 × 584.15
  4. Step 4: Simplify right side
    1,026.21x = 827,325.80
  5. Step 5: Solve for x
    x = 827,325.80/1,026.21
  6. Step 6: Final answer
    x = 806.20

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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.