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Finding the Fourth Proportional to 719.24, 1,078.80 and 286.42

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Solution

The fourth proportional to 719.24, 1,078.80 and 286.42 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.24 : 1,078.80 = 286.42 : x
  2. Step 2: Convert to fraction form
    719.24/1,078.80 = 286.42/x
  3. Step 3: Cross multiply
    719.24x = 1,078.80 × 286.42
  4. Step 4: Simplify right side
    719.24x = 308,989.90
  5. Step 5: Solve for x
    x = 308,989.90/719.24
  6. Step 6: Final answer
    x = 429.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.