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Finding the Fourth Proportional to 926.62, 1,278.72 and 533.65

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Solution

The fourth proportional to 926.62, 1,278.72 and 533.65 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.62 : 1,278.72 = 533.65 : x
  2. Step 2: Convert to fraction form
    926.62/1,278.72 = 533.65/x
  3. Step 3: Cross multiply
    926.62x = 1,278.72 × 533.65
  4. Step 4: Simplify right side
    926.62x = 682,388.93
  5. Step 5: Solve for x
    x = 682,388.93/926.62
  6. Step 6: Final answer
    x = 736.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.