Home / 1,026.21-1,416.36-584.13

Finding the Fourth Proportional to 1,026.21, 1,416.36 and 584.13

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Solution

The fourth proportional to 1,026.21, 1,416.36 and 584.13 is: 806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.21 : 1,416.36 = 584.13 : x
  2. Step 2: Convert to fraction form
    1,026.21/1,416.36 = 584.13/x
  3. Step 3: Cross multiply
    1,026.21x = 1,416.36 × 584.13
  4. Step 4: Simplify right side
    1,026.21x = 827,338.37
  5. Step 5: Solve for x
    x = 827,338.37/1,026.21
  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.