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Finding the Fourth Proportional to 546.93, 819.25 and 430.82

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Solution

The fourth proportional to 546.93, 819.25 and 430.82 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 819.25 = 430.82 : x
  2. Step 2: Convert to fraction form
    546.93/819.25 = 430.82/x
  3. Step 3: Cross multiply
    546.93x = 819.25 × 430.82
  4. Step 4: Simplify right side
    546.93x = 352,949.29
  5. Step 5: Solve for x
    x = 352,949.29/546.93
  6. Step 6: Final answer
    x = 645.33

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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.