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Finding the Fourth Proportional to 667.77, 920.70 and 431.34

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Solution

The fourth proportional to 667.77, 920.70 and 431.34 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.77 : 920.70 = 431.34 : x
  2. Step 2: Convert to fraction form
    667.77/920.70 = 431.34/x
  3. Step 3: Cross multiply
    667.77x = 920.70 × 431.34
  4. Step 4: Simplify right side
    667.77x = 397,134.74
  5. Step 5: Solve for x
    x = 397,134.74/667.77
  6. Step 6: Final answer
    x = 594.72

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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.