Home / 1,112.56-1,669.10-382.14

Finding the Fourth Proportional to 1,112.56, 1,669.10 and 382.14

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Solution

The fourth proportional to 1,112.56, 1,669.10 and 382.14 is: 573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.56 : 1,669.10 = 382.14 : x
  2. Step 2: Convert to fraction form
    1,112.56/1,669.10 = 382.14/x
  3. Step 3: Cross multiply
    1,112.56x = 1,669.10 × 382.14
  4. Step 4: Simplify right side
    1,112.56x = 637,829.87
  5. Step 5: Solve for x
    x = 637,829.87/1,112.56
  6. Step 6: Final answer
    x = 573.30

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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.