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Finding the Fourth Proportional to 878.35, 1,217.67 and 831.53

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Solution

The fourth proportional to 878.35, 1,217.67 and 831.53 is: 1,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.35 : 1,217.67 = 831.53 : x
  2. Step 2: Convert to fraction form
    878.35/1,217.67 = 831.53/x
  3. Step 3: Cross multiply
    878.35x = 1,217.67 × 831.53
  4. Step 4: Simplify right side
    878.35x = 1,012,533.74
  5. Step 5: Solve for x
    x = 1,012,533.74/878.35
  6. Step 6: Final answer
    x = 1,152.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.