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Finding the Fourth Proportional to 820.30, 1,134.84 and 672.64

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Solution

The fourth proportional to 820.30, 1,134.84 and 672.64 is: 930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,134.84 = 672.64 : x
  2. Step 2: Convert to fraction form
    820.30/1,134.84 = 672.64/x
  3. Step 3: Cross multiply
    820.30x = 1,134.84 × 672.64
  4. Step 4: Simplify right side
    820.30x = 763,338.78
  5. Step 5: Solve for x
    x = 763,338.78/820.30
  6. Step 6: Final answer
    x = 930.56

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1.5x scale

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.