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Finding the Fourth Proportional to 926.34, 1,278.75 and 577.20

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Solution

The fourth proportional to 926.34, 1,278.75 and 577.20 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.34 : 1,278.75 = 577.20 : x
  2. Step 2: Convert to fraction form
    926.34/1,278.75 = 577.20/x
  3. Step 3: Cross multiply
    926.34x = 1,278.75 × 577.20
  4. Step 4: Simplify right side
    926.34x = 738,095.53
  5. Step 5: Solve for x
    x = 738,095.53/926.34
  6. Step 6: Final answer
    x = 796.78

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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.