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Finding the Fourth Proportional to 719.28, 1,076.99 and 410.71

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Solution

The fourth proportional to 719.28, 1,076.99 and 410.71 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.28 : 1,076.99 = 410.71 : x
  2. Step 2: Convert to fraction form
    719.28/1,076.99 = 410.71/x
  3. Step 3: Cross multiply
    719.28x = 1,076.99 × 410.71
  4. Step 4: Simplify right side
    719.28x = 442,328.56
  5. Step 5: Solve for x
    x = 442,328.56/719.28
  6. Step 6: Final answer
    x = 614.96

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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.