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Finding the Fourth Proportional to 964.19, 1,452.36 and 878.07

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Solution

The fourth proportional to 964.19, 1,452.36 and 878.07 is: 1,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,452.36 = 878.07 : x
  2. Step 2: Convert to fraction form
    964.19/1,452.36 = 878.07/x
  3. Step 3: Cross multiply
    964.19x = 1,452.36 × 878.07
  4. Step 4: Simplify right side
    964.19x = 1,275,273.75
  5. Step 5: Solve for x
    x = 1,275,273.75/964.19
  6. Step 6: Final answer
    x = 1,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.