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Finding the Fourth Proportional to 1,112.71, 1,669.06 and 382.34

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Solution

The fourth proportional to 1,112.71, 1,669.06 and 382.34 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.71 : 1,669.06 = 382.34 : x
  2. Step 2: Convert to fraction form
    1,112.71/1,669.06 = 382.34/x
  3. Step 3: Cross multiply
    1,112.71x = 1,669.06 × 382.34
  4. Step 4: Simplify right side
    1,112.71x = 638,148.40
  5. Step 5: Solve for x
    x = 638,148.40/1,112.71
  6. Step 6: Final answer
    x = 573.51

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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.