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Finding the Fourth Proportional to 841.34, 1,154.22 and 819.87

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Solution

The fourth proportional to 841.34, 1,154.22 and 819.87 is: 1,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.34 : 1,154.22 = 819.87 : x
  2. Step 2: Convert to fraction form
    841.34/1,154.22 = 819.87/x
  3. Step 3: Cross multiply
    841.34x = 1,154.22 × 819.87
  4. Step 4: Simplify right side
    841.34x = 946,310.35
  5. Step 5: Solve for x
    x = 946,310.35/841.34
  6. Step 6: Final answer
    x = 1,124.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.