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Finding the Fourth Proportional to 449.33, 675.54 and 415.51

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Solution

The fourth proportional to 449.33, 675.54 and 415.51 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.33 : 675.54 = 415.51 : x
  2. Step 2: Convert to fraction form
    449.33/675.54 = 415.51/x
  3. Step 3: Cross multiply
    449.33x = 675.54 × 415.51
  4. Step 4: Simplify right side
    449.33x = 280,695.74
  5. Step 5: Solve for x
    x = 280,695.74/449.33
  6. Step 6: Final answer
    x = 624.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.