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Finding the Fourth Proportional to 446.50, 665.89 and 415.72

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Solution

The fourth proportional to 446.50, 665.89 and 415.72 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 665.89 = 415.72 : x
  2. Step 2: Convert to fraction form
    446.50/665.89 = 415.72/x
  3. Step 3: Cross multiply
    446.50x = 665.89 × 415.72
  4. Step 4: Simplify right side
    446.50x = 276,823.79
  5. Step 5: Solve for x
    x = 276,823.79/446.50
  6. Step 6: Final answer
    x = 619.99

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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.