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Finding the Fourth Proportional to 926.76, 1,388.56 and 809.91

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Solution

The fourth proportional to 926.76, 1,388.56 and 809.91 is: 1,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,388.56 = 809.91 : x
  2. Step 2: Convert to fraction form
    926.76/1,388.56 = 809.91/x
  3. Step 3: Cross multiply
    926.76x = 1,388.56 × 809.91
  4. Step 4: Simplify right side
    926.76x = 1,124,608.63
  5. Step 5: Solve for x
    x = 1,124,608.63/926.76
  6. Step 6: Final answer
    x = 1,213.48

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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.