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Finding the Fourth Proportional to 449.66, 670.56 and 431.44

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Solution

The fourth proportional to 449.66, 670.56 and 431.44 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 670.56 = 431.44 : x
  2. Step 2: Convert to fraction form
    449.66/670.56 = 431.44/x
  3. Step 3: Cross multiply
    449.66x = 670.56 × 431.44
  4. Step 4: Simplify right side
    449.66x = 289,306.41
  5. Step 5: Solve for x
    x = 289,306.41/449.66
  6. Step 6: Final answer
    x = 643.39

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.