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Finding the Fourth Proportional to 937.78, 1,405.20 and 546.81

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Solution

The fourth proportional to 937.78, 1,405.20 and 546.81 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.78 : 1,405.20 = 546.81 : x
  2. Step 2: Convert to fraction form
    937.78/1,405.20 = 546.81/x
  3. Step 3: Cross multiply
    937.78x = 1,405.20 × 546.81
  4. Step 4: Simplify right side
    937.78x = 768,377.41
  5. Step 5: Solve for x
    x = 768,377.41/937.78
  6. Step 6: Final answer
    x = 819.36

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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.