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Finding the Fourth Proportional to 450.83, 676.23 and 392.51

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Solution

The fourth proportional to 450.83, 676.23 and 392.51 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.83 : 676.23 = 392.51 : x
  2. Step 2: Convert to fraction form
    450.83/676.23 = 392.51/x
  3. Step 3: Cross multiply
    450.83x = 676.23 × 392.51
  4. Step 4: Simplify right side
    450.83x = 265,427.04
  5. Step 5: Solve for x
    x = 265,427.04/450.83
  6. Step 6: Final answer
    x = 588.75

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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.