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Finding the Fourth Proportional to 1,216.46, 1,678.82 and 719.21

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Solution

The fourth proportional to 1,216.46, 1,678.82 and 719.21 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.46 : 1,678.82 = 719.21 : x
  2. Step 2: Convert to fraction form
    1,216.46/1,678.82 = 719.21/x
  3. Step 3: Cross multiply
    1,216.46x = 1,678.82 × 719.21
  4. Step 4: Simplify right side
    1,216.46x = 1,207,412.14
  5. Step 5: Solve for x
    x = 1,207,412.14/1,216.46
  6. Step 6: Final answer
    x = 992.57

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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.