Home / 1,112.34-1,669.48-428.82

Finding the Fourth Proportional to 1,112.34, 1,669.48 and 428.82

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Solution

The fourth proportional to 1,112.34, 1,669.48 and 428.82 is: 643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 1,669.48 = 428.82 : x
  2. Step 2: Convert to fraction form
    1,112.34/1,669.48 = 428.82/x
  3. Step 3: Cross multiply
    1,112.34x = 1,669.48 × 428.82
  4. Step 4: Simplify right side
    1,112.34x = 715,906.41
  5. Step 5: Solve for x
    x = 715,906.41/1,112.34
  6. Step 6: Final answer
    x = 643.60

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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.