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Finding the Fourth Proportional to 719.96, 1,081.01 and 412.16

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Solution

The fourth proportional to 719.96, 1,081.01 and 412.16 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 1,081.01 = 412.16 : x
  2. Step 2: Convert to fraction form
    719.96/1,081.01 = 412.16/x
  3. Step 3: Cross multiply
    719.96x = 1,081.01 × 412.16
  4. Step 4: Simplify right side
    719.96x = 445,549.08
  5. Step 5: Solve for x
    x = 445,549.08/719.96
  6. Step 6: Final answer
    x = 618.85

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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.