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Finding the Fourth Proportional to 444.63, 670.27 and 414.90

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Solution

The fourth proportional to 444.63, 670.27 and 414.90 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.63 : 670.27 = 414.90 : x
  2. Step 2: Convert to fraction form
    444.63/670.27 = 414.90/x
  3. Step 3: Cross multiply
    444.63x = 670.27 × 414.90
  4. Step 4: Simplify right side
    444.63x = 278,095.02
  5. Step 5: Solve for x
    x = 278,095.02/444.63
  6. Step 6: Final answer
    x = 625.45

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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.