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Finding the Fourth Proportional to 643.62, 965.42 and 497.59

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Solution

The fourth proportional to 643.62, 965.42 and 497.59 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.62 : 965.42 = 497.59 : x
  2. Step 2: Convert to fraction form
    643.62/965.42 = 497.59/x
  3. Step 3: Cross multiply
    643.62x = 965.42 × 497.59
  4. Step 4: Simplify right side
    643.62x = 480,383.34
  5. Step 5: Solve for x
    x = 480,383.34/643.62
  6. Step 6: Final answer
    x = 746.38

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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.