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Finding the Fourth Proportional to 444.84, 670.59 and 415.10

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Solution

The fourth proportional to 444.84, 670.59 and 415.10 is: 625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.84 : 670.59 = 415.10 : x
  2. Step 2: Convert to fraction form
    444.84/670.59 = 415.10/x
  3. Step 3: Cross multiply
    444.84x = 670.59 × 415.10
  4. Step 4: Simplify right side
    444.84x = 278,361.91
  5. Step 5: Solve for x
    x = 278,361.91/444.84
  6. Step 6: Final answer
    x = 625.76

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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.