Home / 1,389.45-2,084.19-415.56

Finding the Fourth Proportional to 1,389.45, 2,084.19 and 415.56

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Solution

The fourth proportional to 1,389.45, 2,084.19 and 415.56 is: 623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.45 : 2,084.19 = 415.56 : x
  2. Step 2: Convert to fraction form
    1,389.45/2,084.19 = 415.56/x
  3. Step 3: Cross multiply
    1,389.45x = 2,084.19 × 415.56
  4. Step 4: Simplify right side
    1,389.45x = 866,106.00
  5. Step 5: Solve for x
    x = 866,106.00/1,389.45
  6. Step 6: Final answer
    x = 623.34

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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.