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Finding the Fourth Proportional to 433.42, 649.34 and 288.78

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Solution

The fourth proportional to 433.42, 649.34 and 288.78 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 649.34 = 288.78 : x
  2. Step 2: Convert to fraction form
    433.42/649.34 = 288.78/x
  3. Step 3: Cross multiply
    433.42x = 649.34 × 288.78
  4. Step 4: Simplify right side
    433.42x = 187,516.41
  5. Step 5: Solve for x
    x = 187,516.41/433.42
  6. Step 6: Final answer
    x = 432.64

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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.