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Finding the Fourth Proportional to 433.68, 649.44 and 342.87

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Solution

The fourth proportional to 433.68, 649.44 and 342.87 is: 513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.44 = 342.87 : x
  2. Step 2: Convert to fraction form
    433.68/649.44 = 342.87/x
  3. Step 3: Cross multiply
    433.68x = 649.44 × 342.87
  4. Step 4: Simplify right side
    433.68x = 222,673.49
  5. Step 5: Solve for x
    x = 222,673.49/433.68
  6. Step 6: Final answer
    x = 513.45

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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.