Home / 1,416.36-2,122.38-594.20

Finding the Fourth Proportional to 1,416.36, 2,122.38 and 594.20

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Solution

The fourth proportional to 1,416.36, 2,122.38 and 594.20 is: 890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.36 : 2,122.38 = 594.20 : x
  2. Step 2: Convert to fraction form
    1,416.36/2,122.38 = 594.20/x
  3. Step 3: Cross multiply
    1,416.36x = 2,122.38 × 594.20
  4. Step 4: Simplify right side
    1,416.36x = 1,261,118.20
  5. Step 5: Solve for x
    x = 1,261,118.20/1,416.36
  6. Step 6: Final answer
    x = 890.39

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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.