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Finding the Fourth Proportional to 444.07, 662.77 and 414.91

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Solution

The fourth proportional to 444.07, 662.77 and 414.91 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.07 : 662.77 = 414.91 : x
  2. Step 2: Convert to fraction form
    444.07/662.77 = 414.91/x
  3. Step 3: Cross multiply
    444.07x = 662.77 × 414.91
  4. Step 4: Simplify right side
    444.07x = 274,989.90
  5. Step 5: Solve for x
    x = 274,989.90/444.07
  6. Step 6: Final answer
    x = 619.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.