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Finding the Fourth Proportional to 878.11, 1,314.43 and 643.34

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Solution

The fourth proportional to 878.11, 1,314.43 and 643.34 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.11 : 1,314.43 = 643.34 : x
  2. Step 2: Convert to fraction form
    878.11/1,314.43 = 643.34/x
  3. Step 3: Cross multiply
    878.11x = 1,314.43 × 643.34
  4. Step 4: Simplify right side
    878.11x = 845,627.07
  5. Step 5: Solve for x
    x = 845,627.07/878.11
  6. Step 6: Final answer
    x = 963.01

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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.