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Finding the Fourth Proportional to 1,142, 1,576.08 and 831.68

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Solution

The fourth proportional to 1,142, 1,576.08 and 831.68 is: 1,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,576.08 = 831.68 : x
  2. Step 2: Convert to fraction form
    1,142/1,576.08 = 831.68/x
  3. Step 3: Cross multiply
    1,142x = 1,576.08 × 831.68
  4. Step 4: Simplify right side
    1,142x = 1,310,794.21
  5. Step 5: Solve for x
    x = 1,310,794.21/1,142
  6. Step 6: Final answer
    x = 1,147.81

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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.