Home / 1,389.24-2,083.65-415.43

Finding the Fourth Proportional to 1,389.24, 2,083.65 and 415.43

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Solution

The fourth proportional to 1,389.24, 2,083.65 and 415.43 is: 623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.24 : 2,083.65 = 415.43 : x
  2. Step 2: Convert to fraction form
    1,389.24/2,083.65 = 415.43/x
  3. Step 3: Cross multiply
    1,389.24x = 2,083.65 × 415.43
  4. Step 4: Simplify right side
    1,389.24x = 865,600.30
  5. Step 5: Solve for x
    x = 865,600.30/1,389.24
  6. Step 6: Final answer
    x = 623.07

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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.