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Finding the Fourth Proportional to 641.50, 965.56 and 547.54

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Solution

The fourth proportional to 641.50, 965.56 and 547.54 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.50 : 965.56 = 547.54 : x
  2. Step 2: Convert to fraction form
    641.50/965.56 = 547.54/x
  3. Step 3: Cross multiply
    641.50x = 965.56 × 547.54
  4. Step 4: Simplify right side
    641.50x = 528,682.72
  5. Step 5: Solve for x
    x = 528,682.72/641.50
  6. Step 6: Final answer
    x = 824.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.