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Finding the Fourth Proportional to 1,192.76, 1,789.66 and 645.33

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Solution

The fourth proportional to 1,192.76, 1,789.66 and 645.33 is: 968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,789.66 = 645.33 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,789.66 = 645.33/x
  3. Step 3: Cross multiply
    1,192.76x = 1,789.66 × 645.33
  4. Step 4: Simplify right side
    1,192.76x = 1,154,918.06
  5. Step 5: Solve for x
    x = 1,154,918.06/1,192.76
  6. Step 6: Final answer
    x = 968.27

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1.5x scale

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.