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Finding the Fourth Proportional to 719.26, 1,077.98 and 411.28

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Solution

The fourth proportional to 719.26, 1,077.98 and 411.28 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.26 : 1,077.98 = 411.28 : x
  2. Step 2: Convert to fraction form
    719.26/1,077.98 = 411.28/x
  3. Step 3: Cross multiply
    719.26x = 1,077.98 × 411.28
  4. Step 4: Simplify right side
    719.26x = 443,346.86
  5. Step 5: Solve for x
    x = 443,346.86/719.26
  6. Step 6: Final answer
    x = 616.40

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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.