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Finding the Fourth Proportional to 929.44, 1,282.10 and 764.43

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Solution

The fourth proportional to 929.44, 1,282.10 and 764.43 is: 1,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.44 : 1,282.10 = 764.43 : x
  2. Step 2: Convert to fraction form
    929.44/1,282.10 = 764.43/x
  3. Step 3: Cross multiply
    929.44x = 1,282.10 × 764.43
  4. Step 4: Simplify right side
    929.44x = 980,075.70
  5. Step 5: Solve for x
    x = 980,075.70/929.44
  6. Step 6: Final answer
    x = 1,054.48

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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.