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Finding the Fourth Proportional to 831.80, 1,147.03 and 551.94

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Solution

The fourth proportional to 831.80, 1,147.03 and 551.94 is: 761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.80 : 1,147.03 = 551.94 : x
  2. Step 2: Convert to fraction form
    831.80/1,147.03 = 551.94/x
  3. Step 3: Cross multiply
    831.80x = 1,147.03 × 551.94
  4. Step 4: Simplify right side
    831.80x = 633,091.74
  5. Step 5: Solve for x
    x = 633,091.74/831.80
  6. Step 6: Final answer
    x = 761.11

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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.