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Finding the Fourth Proportional to 444.71, 670.40 and 414.98

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Solution

The fourth proportional to 444.71, 670.40 and 414.98 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.71 : 670.40 = 414.98 : x
  2. Step 2: Convert to fraction form
    444.71/670.40 = 414.98/x
  3. Step 3: Cross multiply
    444.71x = 670.40 × 414.98
  4. Step 4: Simplify right side
    444.71x = 278,201.24
  5. Step 5: Solve for x
    x = 278,201.24/444.71
  6. Step 6: Final answer
    x = 625.58

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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.