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Finding the Fourth Proportional to 831.62, 1,245.08 and 767.02

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Solution

The fourth proportional to 831.62, 1,245.08 and 767.02 is: 1,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.62 : 1,245.08 = 767.02 : x
  2. Step 2: Convert to fraction form
    831.62/1,245.08 = 767.02/x
  3. Step 3: Cross multiply
    831.62x = 1,245.08 × 767.02
  4. Step 4: Simplify right side
    831.62x = 955,001.26
  5. Step 5: Solve for x
    x = 955,001.26/831.62
  6. Step 6: Final answer
    x = 1,148.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.