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Finding the Fourth Proportional to 1,216.64, 1,678.88 and 719.30

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Solution

The fourth proportional to 1,216.64, 1,678.88 and 719.30 is: 992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.64 : 1,678.88 = 719.30 : x
  2. Step 2: Convert to fraction form
    1,216.64/1,678.88 = 719.30/x
  3. Step 3: Cross multiply
    1,216.64x = 1,678.88 × 719.30
  4. Step 4: Simplify right side
    1,216.64x = 1,207,606.39
  5. Step 5: Solve for x
    x = 1,207,606.39/1,216.64
  6. Step 6: Final answer
    x = 992.58

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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.