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Finding the Fourth Proportional to 831.51, 1,245.89 and 368.60

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Solution

The fourth proportional to 831.51, 1,245.89 and 368.60 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.51 : 1,245.89 = 368.60 : x
  2. Step 2: Convert to fraction form
    831.51/1,245.89 = 368.60/x
  3. Step 3: Cross multiply
    831.51x = 1,245.89 × 368.60
  4. Step 4: Simplify right side
    831.51x = 459,229.75
  5. Step 5: Solve for x
    x = 459,229.75/831.51
  6. Step 6: Final answer
    x = 552.28

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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.