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Finding the Fourth Proportional to 831.57, 1,247.69 and 338.02

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Solution

The fourth proportional to 831.57, 1,247.69 and 338.02 is: 507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,247.69 = 338.02 : x
  2. Step 2: Convert to fraction form
    831.57/1,247.69 = 338.02/x
  3. Step 3: Cross multiply
    831.57x = 1,247.69 × 338.02
  4. Step 4: Simplify right side
    831.57x = 421,744.13
  5. Step 5: Solve for x
    x = 421,744.13/831.57
  6. Step 6: Final answer
    x = 507.16

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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.