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Finding the Fourth Proportional to 449.21, 621.06 and 429.41

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Solution

The fourth proportional to 449.21, 621.06 and 429.41 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.21 : 621.06 = 429.41 : x
  2. Step 2: Convert to fraction form
    449.21/621.06 = 429.41/x
  3. Step 3: Cross multiply
    449.21x = 621.06 × 429.41
  4. Step 4: Simplify right side
    449.21x = 266,689.37
  5. Step 5: Solve for x
    x = 266,689.37/449.21
  6. Step 6: Final answer
    x = 593.69

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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.