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Finding the Fourth Proportional to 719.62, 1,077.50 and 411.21

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Solution

The fourth proportional to 719.62, 1,077.50 and 411.21 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.62 : 1,077.50 = 411.21 : x
  2. Step 2: Convert to fraction form
    719.62/1,077.50 = 411.21/x
  3. Step 3: Cross multiply
    719.62x = 1,077.50 × 411.21
  4. Step 4: Simplify right side
    719.62x = 443,079.80
  5. Step 5: Solve for x
    x = 443,079.80/719.62
  6. Step 6: Final answer
    x = 615.72

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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.