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Finding the Fourth Proportional to 929.85, 1,282.55 and 813.21

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Solution

The fourth proportional to 929.85, 1,282.55 and 813.21 is: 1,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.85 : 1,282.55 = 813.21 : x
  2. Step 2: Convert to fraction form
    929.85/1,282.55 = 813.21/x
  3. Step 3: Cross multiply
    929.85x = 1,282.55 × 813.21
  4. Step 4: Simplify right side
    929.85x = 1,042,978.42
  5. Step 5: Solve for x
    x = 1,042,978.42/929.85
  6. Step 6: Final answer
    x = 1,121.66

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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.