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Finding the Fourth Proportional to 831.08, 1,147.39 and 551.55

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Solution

The fourth proportional to 831.08, 1,147.39 and 551.55 is: 761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.08 : 1,147.39 = 551.55 : x
  2. Step 2: Convert to fraction form
    831.08/1,147.39 = 551.55/x
  3. Step 3: Cross multiply
    831.08x = 1,147.39 × 551.55
  4. Step 4: Simplify right side
    831.08x = 632,842.95
  5. Step 5: Solve for x
    x = 632,842.95/831.08
  6. Step 6: Final answer
    x = 761.47

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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.