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Finding the Fourth Proportional to 831.51, 1,147.59 and 516.78

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Solution

The fourth proportional to 831.51, 1,147.59 and 516.78 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.51 : 1,147.59 = 516.78 : x
  2. Step 2: Convert to fraction form
    831.51/1,147.59 = 516.78/x
  3. Step 3: Cross multiply
    831.51x = 1,147.59 × 516.78
  4. Step 4: Simplify right side
    831.51x = 593,051.56
  5. Step 5: Solve for x
    x = 593,051.56/831.51
  6. Step 6: Final answer
    x = 713.22

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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.