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Finding the Fourth Proportional to 667.40, 922.05 and 556.83

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Solution

The fourth proportional to 667.40, 922.05 and 556.83 is: 769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 922.05 = 556.83 : x
  2. Step 2: Convert to fraction form
    667.40/922.05 = 556.83/x
  3. Step 3: Cross multiply
    667.40x = 922.05 × 556.83
  4. Step 4: Simplify right side
    667.40x = 513,425.10
  5. Step 5: Solve for x
    x = 513,425.10/667.40
  6. Step 6: Final answer
    x = 769.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.