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Finding the Fourth Proportional to 1,192.46, 1,645.29 and 719.99

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Solution

The fourth proportional to 1,192.46, 1,645.29 and 719.99 is: 993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.46 : 1,645.29 = 719.99 : x
  2. Step 2: Convert to fraction form
    1,192.46/1,645.29 = 719.99/x
  3. Step 3: Cross multiply
    1,192.46x = 1,645.29 × 719.99
  4. Step 4: Simplify right side
    1,192.46x = 1,184,584.12
  5. Step 5: Solve for x
    x = 1,184,584.12/1,192.46
  6. Step 6: Final answer
    x = 993.39

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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.