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Finding the Fourth Proportional to 641.77, 966.05 and 547.81

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Solution

The fourth proportional to 641.77, 966.05 and 547.81 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.77 : 966.05 = 547.81 : x
  2. Step 2: Convert to fraction form
    641.77/966.05 = 547.81/x
  3. Step 3: Cross multiply
    641.77x = 966.05 × 547.81
  4. Step 4: Simplify right side
    641.77x = 529,206.70
  5. Step 5: Solve for x
    x = 529,206.70/641.77
  6. Step 6: Final answer
    x = 824.61

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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.