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Finding the Fourth Proportional to 1,192.20, 1,788.92 and 644.54

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Solution

The fourth proportional to 1,192.20, 1,788.92 and 644.54 is: 967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.20 : 1,788.92 = 644.54 : x
  2. Step 2: Convert to fraction form
    1,192.20/1,788.92 = 644.54/x
  3. Step 3: Cross multiply
    1,192.20x = 1,788.92 × 644.54
  4. Step 4: Simplify right side
    1,192.20x = 1,153,018.33
  5. Step 5: Solve for x
    x = 1,153,018.33/1,192.20
  6. Step 6: Final answer
    x = 967.13

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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.