Home / 1,057.22-1,582.78-617.14

Finding the Fourth Proportional to 1,057.22, 1,582.78 and 617.14

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Solution

The fourth proportional to 1,057.22, 1,582.78 and 617.14 is: 923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,582.78 = 617.14 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,582.78 = 617.14/x
  3. Step 3: Cross multiply
    1,057.22x = 1,582.78 × 617.14
  4. Step 4: Simplify right side
    1,057.22x = 976,796.85
  5. Step 5: Solve for x
    x = 976,796.85/1,057.22
  6. Step 6: Final answer
    x = 923.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.