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Finding the Fourth Proportional to 433.16, 649.02 and 416.30

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Solution

The fourth proportional to 433.16, 649.02 and 416.30 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.02 = 416.30 : x
  2. Step 2: Convert to fraction form
    433.16/649.02 = 416.30/x
  3. Step 3: Cross multiply
    433.16x = 649.02 × 416.30
  4. Step 4: Simplify right side
    433.16x = 270,187.03
  5. Step 5: Solve for x
    x = 270,187.03/433.16
  6. Step 6: Final answer
    x = 623.76

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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.