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Finding the Fourth Proportional to 956.14, 1,440.25 and 854.62

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Solution

The fourth proportional to 956.14, 1,440.25 and 854.62 is: 1,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,440.25 = 854.62 : x
  2. Step 2: Convert to fraction form
    956.14/1,440.25 = 854.62/x
  3. Step 3: Cross multiply
    956.14x = 1,440.25 × 854.62
  4. Step 4: Simplify right side
    956.14x = 1,230,866.46
  5. Step 5: Solve for x
    x = 1,230,866.46/956.14
  6. Step 6: Final answer
    x = 1,287.33

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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.