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Finding the Fourth Proportional to 450.65, 676.67 and 431.93

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Solution

The fourth proportional to 450.65, 676.67 and 431.93 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.65 : 676.67 = 431.93 : x
  2. Step 2: Convert to fraction form
    450.65/676.67 = 431.93/x
  3. Step 3: Cross multiply
    450.65x = 676.67 × 431.93
  4. Step 4: Simplify right side
    450.65x = 292,268.53
  5. Step 5: Solve for x
    x = 292,268.53/450.65
  6. Step 6: Final answer
    x = 648.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.