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Finding the Fourth Proportional to 1,055.97, 1,456.89 and 683.42

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Solution

The fourth proportional to 1,055.97, 1,456.89 and 683.42 is: 942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.97 : 1,456.89 = 683.42 : x
  2. Step 2: Convert to fraction form
    1,055.97/1,456.89 = 683.42/x
  3. Step 3: Cross multiply
    1,055.97x = 1,456.89 × 683.42
  4. Step 4: Simplify right side
    1,055.97x = 995,666.11
  5. Step 5: Solve for x
    x = 995,666.11/1,055.97
  6. Step 6: Final answer
    x = 942.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.