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Finding the Fourth Proportional to 831.03, 1,245.73 and 538.49

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Solution

The fourth proportional to 831.03, 1,245.73 and 538.49 is: 807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.03 : 1,245.73 = 538.49 : x
  2. Step 2: Convert to fraction form
    831.03/1,245.73 = 538.49/x
  3. Step 3: Cross multiply
    831.03x = 1,245.73 × 538.49
  4. Step 4: Simplify right side
    831.03x = 670,813.15
  5. Step 5: Solve for x
    x = 670,813.15/831.03
  6. Step 6: Final answer
    x = 807.21

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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.