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Finding the Fourth Proportional to 639.40, 960.25 and 587.94

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Solution

The fourth proportional to 639.40, 960.25 and 587.94 is: 882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.40 : 960.25 = 587.94 : x
  2. Step 2: Convert to fraction form
    639.40/960.25 = 587.94/x
  3. Step 3: Cross multiply
    639.40x = 960.25 × 587.94
  4. Step 4: Simplify right side
    639.40x = 564,566.45
  5. Step 5: Solve for x
    x = 564,566.45/639.40
  6. Step 6: Final answer
    x = 882.97

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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.