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Finding the Fourth Proportional to 885.68, 1,328.64 and 831.68

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Solution

The fourth proportional to 885.68, 1,328.64 and 831.68 is: 1,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.68 : 1,328.64 = 831.68 : x
  2. Step 2: Convert to fraction form
    885.68/1,328.64 = 831.68/x
  3. Step 3: Cross multiply
    885.68x = 1,328.64 × 831.68
  4. Step 4: Simplify right side
    885.68x = 1,105,003.32
  5. Step 5: Solve for x
    x = 1,105,003.32/885.68
  6. Step 6: Final answer
    x = 1,247.63

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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.