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Finding the Fourth Proportional to 964.31, 1,448.42 and 575.07

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Solution

The fourth proportional to 964.31, 1,448.42 and 575.07 is: 863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.31 : 1,448.42 = 575.07 : x
  2. Step 2: Convert to fraction form
    964.31/1,448.42 = 575.07/x
  3. Step 3: Cross multiply
    964.31x = 1,448.42 × 575.07
  4. Step 4: Simplify right side
    964.31x = 832,940.01
  5. Step 5: Solve for x
    x = 832,940.01/964.31
  6. Step 6: Final answer
    x = 863.77

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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.