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Finding the Fourth Proportional to 641.36, 962.40 and 504.40

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Solution

The fourth proportional to 641.36, 962.40 and 504.40 is: 756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.36 : 962.40 = 504.40 : x
  2. Step 2: Convert to fraction form
    641.36/962.40 = 504.40/x
  3. Step 3: Cross multiply
    641.36x = 962.40 × 504.40
  4. Step 4: Simplify right side
    641.36x = 485,434.56
  5. Step 5: Solve for x
    x = 485,434.56/641.36
  6. Step 6: Final answer
    x = 756.88

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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.