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Finding the Fourth Proportional to 831.68, 1,242.22 and 784.32

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Solution

The fourth proportional to 831.68, 1,242.22 and 784.32 is: 1,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.68 : 1,242.22 = 784.32 : x
  2. Step 2: Convert to fraction form
    831.68/1,242.22 = 784.32/x
  3. Step 3: Cross multiply
    831.68x = 1,242.22 × 784.32
  4. Step 4: Simplify right side
    831.68x = 974,297.99
  5. Step 5: Solve for x
    x = 974,297.99/831.68
  6. Step 6: Final answer
    x = 1,171.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.