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Finding the Fourth Proportional to 719.49, 1,077.81 and 353.17

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Solution

The fourth proportional to 719.49, 1,077.81 and 353.17 is: 529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.49 : 1,077.81 = 353.17 : x
  2. Step 2: Convert to fraction form
    719.49/1,077.81 = 353.17/x
  3. Step 3: Cross multiply
    719.49x = 1,077.81 × 353.17
  4. Step 4: Simplify right side
    719.49x = 380,650.16
  5. Step 5: Solve for x
    x = 380,650.16/719.49
  6. Step 6: Final answer
    x = 529.06

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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.