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Finding the Fourth Proportional to 449.87, 671.63 and 384.89

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Solution

The fourth proportional to 449.87, 671.63 and 384.89 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.87 : 671.63 = 384.89 : x
  2. Step 2: Convert to fraction form
    449.87/671.63 = 384.89/x
  3. Step 3: Cross multiply
    449.87x = 671.63 × 384.89
  4. Step 4: Simplify right side
    449.87x = 258,498.39
  5. Step 5: Solve for x
    x = 258,498.39/449.87
  6. Step 6: Final answer
    x = 574.61

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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.