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Finding the Fourth Proportional to 444.53, 670.12 and 414.79

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Solution

The fourth proportional to 444.53, 670.12 and 414.79 is: 625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.53 : 670.12 = 414.79 : x
  2. Step 2: Convert to fraction form
    444.53/670.12 = 414.79/x
  3. Step 3: Cross multiply
    444.53x = 670.12 × 414.79
  4. Step 4: Simplify right side
    444.53x = 277,959.07
  5. Step 5: Solve for x
    x = 277,959.07/444.53
  6. Step 6: Final answer
    x = 625.29

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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.