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Finding the Fourth Proportional to 731.09, 1,009.07 and 482.44

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Solution

The fourth proportional to 731.09, 1,009.07 and 482.44 is: 665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,009.07 = 482.44 : x
  2. Step 2: Convert to fraction form
    731.09/1,009.07 = 482.44/x
  3. Step 3: Cross multiply
    731.09x = 1,009.07 × 482.44
  4. Step 4: Simplify right side
    731.09x = 486,815.73
  5. Step 5: Solve for x
    x = 486,815.73/731.09
  6. Step 6: Final answer
    x = 665.88

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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.