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Finding the Fourth Proportional to 449.72, 670.08 and 401.21

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Solution

The fourth proportional to 449.72, 670.08 and 401.21 is: 597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.72 : 670.08 = 401.21 : x
  2. Step 2: Convert to fraction form
    449.72/670.08 = 401.21/x
  3. Step 3: Cross multiply
    449.72x = 670.08 × 401.21
  4. Step 4: Simplify right side
    449.72x = 268,840.79
  5. Step 5: Solve for x
    x = 268,840.79/449.72
  6. Step 6: Final answer
    x = 597.80

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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.