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Finding the Fourth Proportional to 433.86, 649.62 and 346.78

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Solution

The fourth proportional to 433.86, 649.62 and 346.78 is: 519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 649.62 = 346.78 : x
  2. Step 2: Convert to fraction form
    433.86/649.62 = 346.78/x
  3. Step 3: Cross multiply
    433.86x = 649.62 × 346.78
  4. Step 4: Simplify right side
    433.86x = 225,275.22
  5. Step 5: Solve for x
    x = 225,275.22/433.86
  6. Step 6: Final answer
    x = 519.23

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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.