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Finding the Fourth Proportional to 667.83, 921.20 and 431.70

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Solution

The fourth proportional to 667.83, 921.20 and 431.70 is: 595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.83 : 921.20 = 431.70 : x
  2. Step 2: Convert to fraction form
    667.83/921.20 = 431.70/x
  3. Step 3: Cross multiply
    667.83x = 921.20 × 431.70
  4. Step 4: Simplify right side
    667.83x = 397,678.51
  5. Step 5: Solve for x
    x = 397,678.51/667.83
  6. Step 6: Final answer
    x = 595.48

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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.