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Finding the Fourth Proportional to 450.51, 671.89 and 406.77

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Solution

The fourth proportional to 450.51, 671.89 and 406.77 is: 606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.51 : 671.89 = 406.77 : x
  2. Step 2: Convert to fraction form
    450.51/671.89 = 406.77/x
  3. Step 3: Cross multiply
    450.51x = 671.89 × 406.77
  4. Step 4: Simplify right side
    450.51x = 273,304.70
  5. Step 5: Solve for x
    x = 273,304.70/450.51
  6. Step 6: Final answer
    x = 606.66

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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.