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Finding the Fourth Proportional to 966.31, 1,448.66 and 783.25

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Solution

The fourth proportional to 966.31, 1,448.66 and 783.25 is: 1,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.31 : 1,448.66 = 783.25 : x
  2. Step 2: Convert to fraction form
    966.31/1,448.66 = 783.25/x
  3. Step 3: Cross multiply
    966.31x = 1,448.66 × 783.25
  4. Step 4: Simplify right side
    966.31x = 1,134,659.03
  5. Step 5: Solve for x
    x = 1,134,659.03/966.31
  6. Step 6: Final answer
    x = 1,174.22

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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.