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Finding the Fourth Proportional to 878.19, 1,213.37 and 693.10

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Solution

The fourth proportional to 878.19, 1,213.37 and 693.10 is: 957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.19 : 1,213.37 = 693.10 : x
  2. Step 2: Convert to fraction form
    878.19/1,213.37 = 693.10/x
  3. Step 3: Cross multiply
    878.19x = 1,213.37 × 693.10
  4. Step 4: Simplify right side
    878.19x = 840,980.25
  5. Step 5: Solve for x
    x = 840,980.25/878.19
  6. Step 6: Final answer
    x = 957.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.