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Finding the Fourth Proportional to 639.23, 959.04 and 524.21

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Solution

The fourth proportional to 639.23, 959.04 and 524.21 is: 786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.23 : 959.04 = 524.21 : x
  2. Step 2: Convert to fraction form
    639.23/959.04 = 524.21/x
  3. Step 3: Cross multiply
    639.23x = 959.04 × 524.21
  4. Step 4: Simplify right side
    639.23x = 502,733.56
  5. Step 5: Solve for x
    x = 502,733.56/639.23
  6. Step 6: Final answer
    x = 786.47

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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.