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Finding the Fourth Proportional to 639.98, 958.43 and 433.93

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Solution

The fourth proportional to 639.98, 958.43 and 433.93 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.98 : 958.43 = 433.93 : x
  2. Step 2: Convert to fraction form
    639.98/958.43 = 433.93/x
  3. Step 3: Cross multiply
    639.98x = 958.43 × 433.93
  4. Step 4: Simplify right side
    639.98x = 415,890.13
  5. Step 5: Solve for x
    x = 415,890.13/639.98
  6. Step 6: Final answer
    x = 649.85

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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.