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Finding the Fourth Proportional to 1,114.54, 1,538.04 and 610.39

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Solution

The fourth proportional to 1,114.54, 1,538.04 and 610.39 is: 842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.54 : 1,538.04 = 610.39 : x
  2. Step 2: Convert to fraction form
    1,114.54/1,538.04 = 610.39/x
  3. Step 3: Cross multiply
    1,114.54x = 1,538.04 × 610.39
  4. Step 4: Simplify right side
    1,114.54x = 938,809.04
  5. Step 5: Solve for x
    x = 938,809.04/1,114.54
  6. Step 6: Final answer
    x = 842.33

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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.