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Finding the Fourth Proportional to 831.03, 1,147.30 and 551.65

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Solution

The fourth proportional to 831.03, 1,147.30 and 551.65 is: 761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.03 : 1,147.30 = 551.65 : x
  2. Step 2: Convert to fraction form
    831.03/1,147.30 = 551.65/x
  3. Step 3: Cross multiply
    831.03x = 1,147.30 × 551.65
  4. Step 4: Simplify right side
    831.03x = 632,904.75
  5. Step 5: Solve for x
    x = 632,904.75/831.03
  6. Step 6: Final answer
    x = 761.59

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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.