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Finding the Fourth Proportional to 926.55, 1,271.84 and 819.29

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Solution

The fourth proportional to 926.55, 1,271.84 and 819.29 is: 1,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.55 : 1,271.84 = 819.29 : x
  2. Step 2: Convert to fraction form
    926.55/1,271.84 = 819.29/x
  3. Step 3: Cross multiply
    926.55x = 1,271.84 × 819.29
  4. Step 4: Simplify right side
    926.55x = 1,042,004.88
  5. Step 5: Solve for x
    x = 1,042,004.88/926.55
  6. Step 6: Final answer
    x = 1,124.60

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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.