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Finding the Fourth Proportional to 433.77, 647.94 and 311.06

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Solution

The fourth proportional to 433.77, 647.94 and 311.06 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.77 : 647.94 = 311.06 : x
  2. Step 2: Convert to fraction form
    433.77/647.94 = 311.06/x
  3. Step 3: Cross multiply
    433.77x = 647.94 × 311.06
  4. Step 4: Simplify right side
    433.77x = 201,544.98
  5. Step 5: Solve for x
    x = 201,544.98/433.77
  6. Step 6: Final answer
    x = 464.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.