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Finding the Fourth Proportional to 1,192.21, 1,788.32 and 370.53

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Solution

The fourth proportional to 1,192.21, 1,788.32 and 370.53 is: 555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.21 : 1,788.32 = 370.53 : x
  2. Step 2: Convert to fraction form
    1,192.21/1,788.32 = 370.53/x
  3. Step 3: Cross multiply
    1,192.21x = 1,788.32 × 370.53
  4. Step 4: Simplify right side
    1,192.21x = 662,628.83
  5. Step 5: Solve for x
    x = 662,628.83/1,192.21
  6. Step 6: Final answer
    x = 555.80

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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.