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Finding the Fourth Proportional to 667.49, 921.56 and 431.55

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Solution

The fourth proportional to 667.49, 921.56 and 431.55 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.49 : 921.56 = 431.55 : x
  2. Step 2: Convert to fraction form
    667.49/921.56 = 431.55/x
  3. Step 3: Cross multiply
    667.49x = 921.56 × 431.55
  4. Step 4: Simplify right side
    667.49x = 397,697.06
  5. Step 5: Solve for x
    x = 397,697.06/667.49
  6. Step 6: Final answer
    x = 595.81

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1.5x scale

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.