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Finding the Fourth Proportional to 546.41, 819.95 and 315.75

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Solution

The fourth proportional to 546.41, 819.95 and 315.75 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 819.95 = 315.75 : x
  2. Step 2: Convert to fraction form
    546.41/819.95 = 315.75/x
  3. Step 3: Cross multiply
    546.41x = 819.95 × 315.75
  4. Step 4: Simplify right side
    546.41x = 258,897.63
  5. Step 5: Solve for x
    x = 258,897.63/546.41
  6. Step 6: Final answer
    x = 473.82

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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.