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Finding the Fourth Proportional to 719.57, 1,079.31 and 410.46

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Solution

The fourth proportional to 719.57, 1,079.31 and 410.46 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.57 : 1,079.31 = 410.46 : x
  2. Step 2: Convert to fraction form
    719.57/1,079.31 = 410.46/x
  3. Step 3: Cross multiply
    719.57x = 1,079.31 × 410.46
  4. Step 4: Simplify right side
    719.57x = 443,013.58
  5. Step 5: Solve for x
    x = 443,013.58/719.57
  6. Step 6: Final answer
    x = 615.66

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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.