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Finding the Fourth Proportional to 719, 1,078.52 and 232.10

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Solution

The fourth proportional to 719, 1,078.52 and 232.10 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719 : 1,078.52 = 232.10 : x
  2. Step 2: Convert to fraction form
    719/1,078.52 = 232.10/x
  3. Step 3: Cross multiply
    719x = 1,078.52 × 232.10
  4. Step 4: Simplify right side
    719x = 250,324.49
  5. Step 5: Solve for x
    x = 250,324.49/719
  6. Step 6: Final answer
    x = 348.16

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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.