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Finding the Fourth Proportional to 667.65, 920.68 and 557.09

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Solution

The fourth proportional to 667.65, 920.68 and 557.09 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.65 : 920.68 = 557.09 : x
  2. Step 2: Convert to fraction form
    667.65/920.68 = 557.09/x
  3. Step 3: Cross multiply
    667.65x = 920.68 × 557.09
  4. Step 4: Simplify right side
    667.65x = 512,901.62
  5. Step 5: Solve for x
    x = 512,901.62/667.65
  6. Step 6: Final answer
    x = 768.22

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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.