Home / 1,578.22-2,367.51-424.06

Finding the Fourth Proportional to 1,578.22, 2,367.51 and 424.06

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Solution

The fourth proportional to 1,578.22, 2,367.51 and 424.06 is: 636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.22 : 2,367.51 = 424.06 : x
  2. Step 2: Convert to fraction form
    1,578.22/2,367.51 = 424.06/x
  3. Step 3: Cross multiply
    1,578.22x = 2,367.51 × 424.06
  4. Step 4: Simplify right side
    1,578.22x = 1,003,966.29
  5. Step 5: Solve for x
    x = 1,003,966.29/1,578.22
  6. Step 6: Final answer
    x = 636.14

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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.