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Finding the Fourth Proportional to 1,216.52, 1,678.79 and 719.40

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Solution

The fourth proportional to 1,216.52, 1,678.79 and 719.40 is: 992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.52 : 1,678.79 = 719.40 : x
  2. Step 2: Convert to fraction form
    1,216.52/1,678.79 = 719.40/x
  3. Step 3: Cross multiply
    1,216.52x = 1,678.79 × 719.40
  4. Step 4: Simplify right side
    1,216.52x = 1,207,729.62
  5. Step 5: Solve for x
    x = 1,207,729.62/1,216.52
  6. Step 6: Final answer
    x = 992.78

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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.