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Finding the Fourth Proportional to 931.81, 1,287.26 and 722.83

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Solution

The fourth proportional to 931.81, 1,287.26 and 722.83 is: 998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.81 : 1,287.26 = 722.83 : x
  2. Step 2: Convert to fraction form
    931.81/1,287.26 = 722.83/x
  3. Step 3: Cross multiply
    931.81x = 1,287.26 × 722.83
  4. Step 4: Simplify right side
    931.81x = 930,470.15
  5. Step 5: Solve for x
    x = 930,470.15/931.81
  6. Step 6: Final answer
    x = 998.56

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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.