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Finding the Fourth Proportional to 1,243.80, 1,715.90 and 719.73

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Solution

The fourth proportional to 1,243.80, 1,715.90 and 719.73 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.80 : 1,715.90 = 719.73 : x
  2. Step 2: Convert to fraction form
    1,243.80/1,715.90 = 719.73/x
  3. Step 3: Cross multiply
    1,243.80x = 1,715.90 × 719.73
  4. Step 4: Simplify right side
    1,243.80x = 1,234,981.11
  5. Step 5: Solve for x
    x = 1,234,981.11/1,243.80
  6. Step 6: Final answer
    x = 992.91

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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.