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Finding the Fourth Proportional to 831.84, 1,247.77 and 215.60

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Solution

The fourth proportional to 831.84, 1,247.77 and 215.60 is: 323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,247.77 = 215.60 : x
  2. Step 2: Convert to fraction form
    831.84/1,247.77 = 215.60/x
  3. Step 3: Cross multiply
    831.84x = 1,247.77 × 215.60
  4. Step 4: Simplify right side
    831.84x = 269,013.24
  5. Step 5: Solve for x
    x = 269,013.24/831.84
  6. Step 6: Final answer
    x = 323.40

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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.