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Finding the Fourth Proportional to 640.04, 959.37 and 420.59

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Solution

The fourth proportional to 640.04, 959.37 and 420.59 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.04 : 959.37 = 420.59 : x
  2. Step 2: Convert to fraction form
    640.04/959.37 = 420.59/x
  3. Step 3: Cross multiply
    640.04x = 959.37 × 420.59
  4. Step 4: Simplify right side
    640.04x = 403,496.63
  5. Step 5: Solve for x
    x = 403,496.63/640.04
  6. Step 6: Final answer
    x = 630.43

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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.