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Finding the Fourth Proportional to 445.58, 665.09 and 413

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Solution

The fourth proportional to 445.58, 665.09 and 413 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.58 : 665.09 = 413 : x
  2. Step 2: Convert to fraction form
    445.58/665.09 = 413/x
  3. Step 3: Cross multiply
    445.58x = 665.09 × 413
  4. Step 4: Simplify right side
    445.58x = 274,682.17
  5. Step 5: Solve for x
    x = 274,682.17/445.58
  6. Step 6: Final answer
    x = 616.46

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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.