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Finding the Fourth Proportional to 641.79, 966.02 and 547.83

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Solution

The fourth proportional to 641.79, 966.02 and 547.83 is: 824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.79 : 966.02 = 547.83 : x
  2. Step 2: Convert to fraction form
    641.79/966.02 = 547.83/x
  3. Step 3: Cross multiply
    641.79x = 966.02 × 547.83
  4. Step 4: Simplify right side
    641.79x = 529,212.00
  5. Step 5: Solve for x
    x = 529,212.00/641.79
  6. Step 6: Final answer
    x = 824.59

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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.