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Finding the Fourth Proportional to 1,192.90, 1,645.71 and 744.50

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Solution

The fourth proportional to 1,192.90, 1,645.71 and 744.50 is: 1,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.90 : 1,645.71 = 744.50 : x
  2. Step 2: Convert to fraction form
    1,192.90/1,645.71 = 744.50/x
  3. Step 3: Cross multiply
    1,192.90x = 1,645.71 × 744.50
  4. Step 4: Simplify right side
    1,192.90x = 1,225,231.10
  5. Step 5: Solve for x
    x = 1,225,231.10/1,192.90
  6. Step 6: Final answer
    x = 1,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.