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Finding the Fourth Proportional to 878.81, 1,317.20 and 416.70

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Solution

The fourth proportional to 878.81, 1,317.20 and 416.70 is: 624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.81 : 1,317.20 = 416.70 : x
  2. Step 2: Convert to fraction form
    878.81/1,317.20 = 416.70/x
  3. Step 3: Cross multiply
    878.81x = 1,317.20 × 416.70
  4. Step 4: Simplify right side
    878.81x = 548,875.16
  5. Step 5: Solve for x
    x = 548,875.16/878.81
  6. Step 6: Final answer
    x = 624.57

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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.