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Finding the Fourth Proportional to 831.73, 1,243.00 and 783.72

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Solution

The fourth proportional to 831.73, 1,243.00 and 783.72 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.73 : 1,243.00 = 783.72 : x
  2. Step 2: Convert to fraction form
    831.73/1,243.00 = 783.72/x
  3. Step 3: Cross multiply
    831.73x = 1,243.00 × 783.72
  4. Step 4: Simplify right side
    831.73x = 974,156.93
  5. Step 5: Solve for x
    x = 974,156.93/831.73
  6. Step 6: Final answer
    x = 1,171.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.