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Finding the Fourth Proportional to 444.78, 670.50 and 415.04

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Solution

The fourth proportional to 444.78, 670.50 and 415.04 is: 625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.78 : 670.50 = 415.04 : x
  2. Step 2: Convert to fraction form
    444.78/670.50 = 415.04/x
  3. Step 3: Cross multiply
    444.78x = 670.50 × 415.04
  4. Step 4: Simplify right side
    444.78x = 278,284.64
  5. Step 5: Solve for x
    x = 278,284.64/444.78
  6. Step 6: Final answer
    x = 625.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.