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Finding the Fourth Proportional to 1,205.40, 1,664.26 and 925.14

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Solution

The fourth proportional to 1,205.40, 1,664.26 and 925.14 is: 1,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,664.26 = 925.14 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,664.26 = 925.14/x
  3. Step 3: Cross multiply
    1,205.40x = 1,664.26 × 925.14
  4. Step 4: Simplify right side
    1,205.40x = 1,539,673.27
  5. Step 5: Solve for x
    x = 1,539,673.27/1,205.40
  6. Step 6: Final answer
    x = 1,277.31

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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.